4

Find the values of the six trigonometric functions of €:15 23. cot 0 = and COs 0 < 03t <0 <24. cot € is undefined and...

Question

Find the values of the six trigonometric functions of €:15 23. cot 0 = and COs 0 < 03t <0 <24. cot € is undefined and

Find the values of the six trigonometric functions of €: 15 23. cot 0 = and COs 0 < 0 3t <0 < 24. cot € is undefined and



Answers

Find the values of the six trigonometric functions of $\boldsymbol{\theta}$ with the given constraint. $$ \cot \theta=-3 \quad \cos \theta>0 $$

In discussion. We have been provided with the condition that is cost of kita is equals to two by three, and scientific to is less than zero. Okay, so as we can see that the value, of course of theater is in positive of two by three. So we can write that since cause of theta is positive. Okay. And the sine of theta is less than zero. It means that the value of sine of theta will be negative. So we can like that sign of theater is negative. So from these two conditions, we can conclude that the value off theater or you can say the angle will lie in fourth quadrant. Okay, well, lie in fourth quadrant. So in fourth quadrant, that is only cause of data and sack of Tita will be positive. Okay. And the rest of the techno metric function will be negative. Now we will solve one by one First, the cost of theater that is the techno metric function is given as two by three. Now moving on towards the second techno metric function. This is our first econometric function whose value is already given in the question now moving on towards the second one that is sine of theta. So we can apply the Pythagorean theorem that is Sinus square, Tita plus courses square theater, and that will be equals to one. Okay, now we can use the value. Of course, of theater. In place, of course, is square theater. We can write that Sinus square theater will remain as it is. Plus course of square theater can be lieutenants two by three Holy square. Okay. And this will be equal to one. Now, from here we can write sine squared theta plus to buy three. Holy square will give us four by nine, and that will be close to one. Then this four by nine can be taken to right hand side and will become one minus four by nine on taking the else Here we will get nine minus four, and that will be equals 25 by nine. Okay, but five by nine is the value of Sinus square theater. And we have to compute the value of sign theater, so that will be equals. Two underwrote of five by nine. So this will be under root of five. Divided with nine is a perfect square. So it can be returned as three. So this is the final value of our next econometric function. That a sign of theater. And that is equals two under route five by three. Okay, now we will find the next econometric function. There it is Kosik of Quetta and that is equals to one by sign off to to okay as by reciprocal tourism. So the quadrant in which the Tita was lying was the fourth quadrant. Okay, so the value, of course and set is only positive Rest all the techno metric function is negative. So the sine of theta value, which was coming under road five by three, will have the negative sign. Okay, Now we will put this scientific value in this. That is one divided with scientific size, minus of underwrote, five by three. Okay, so on further simplifying this reciprocal, we will bring this to numerator and this will become minus of three by and the root of five, that is the denominator term will be reciprocal. So the final value of Cossack of theater will be equals two minus of three, divided with under root of five now moving on towards the next econometric function. That is sexy to Okay, now the sec Tater can be written as one by because of data. Okay, that is by reciprocal natural. Now, the cost of three to value was two by three. Okay, so we can substitute this value that one divided with two by three. Again reciprocal in the denominator, we will get the value as three by two with a positive sign. So the value of sack of theta will be three by two. Okay, now moving on towards the next signal. Metric function that is Turn off data so turn of theater can be written as that is science data divided with sack of cheetah Cause of cheetah. Okay, so tank data will be equals. Two sine of theta divided with goes off to Okay now, the value of sign Tita was coming minus of underwrote five by three. So that can be returned as minus of underwrote five by three divided with cost you to value was two by three. Okay, so on for the simplification, the numerator term will remain as it is that is underwrote five by three with a negative side and the term two by three in the denominator can be reciprocal and the sandwich chain that is multiplication welcome. And three by two. Okay, so there's three and three can can get canceled and the final value of 10 of theater will be minus of underwrote five by two because it is lying in the fourth cordon, so it will contain the negative sign that is minus off five by underwrote five by two. Now, the last techno metric function will be the got off to. And that is basically the reciprocal off and of three to Okay. Now we substitute the value of 10 of theater that was coming minus of underwrote five by two. On further solving this denominator, this will be reciprocal and can be written as minus of to buy under root of five. So our final value of court of Tita will be minus of to buy under root of five that is lying in the fourth Garden. So Court of three to will also be negative

Still follow number 24. We need to find the value of all the 60 diplomatic functions. Given that cost he taken to eight by 17. And then peter is less than zero. So we have to first ascertain the quadrant from his hit allies. So cough it is positive. So either quite into one or quite in four. 10 to to is negative. So either couldn't two or quarante for. So ultimately theater will lie in quarter number four like this. X. This is why. And the single has to be tita. Now cost. Today is always X by art. So we have X equal to eight and are equal to 17. So why will be equal to from the relationship access Y plus Y squared root equal to our square, R squared minus X squared under root. And since this in quadrant four so why will be negative minus are square is 17 92 189 minus 64. So 225. So I will be equal to minus 15. This is why this is X. This is our so let us get started. Scientist A will be equal to why buy are so minus 15 by 17 Corsica to which is the reciprocal of science data are by why 17 by minus 15. Cause theater will be equal to X by our so access ah eight bye 17 six theater will be equal to its reciprocal. That is 17 by eight Dante to will always be equal to why by X. So why is minus 15 by access it and car Theta will be equal to its reciprocal. So eight by mine 15. So these are the values of all the sixth street automatic functions. Thank you.

We have all the number 31. And then we need to find the value of all the six diplomatic functions. Given that or three days undefined and Peter belongs to by way too. This is X. And this is why it's okay that belongs to by by 23 by by two. So 52 is here and 352 is here. So this is by by two. This is three by Y. Two. And corporatized undefined Carthage and defined which means it can at the beach here. Okay. No problem. So if court criticized and defined 10 theta must be equal to zero and then 1/10 it equal to 03 time must be equal to minus pi. Or we can say that this is zero by one and 10 Theta equals two. Uh Sorry why? By X. So why equal to zero X. Equal to one? Okay. Okay. And since this is from by by 2 to 3 Puerto so there is only one thing over here. We should right minus one here, X equal to minus one because it has to go to the negative to negative X axis. So access one and access minus one. So our is one. Now let us get started science data. Okay. This has to be to to why we are not zero. It's our reciprocal kazakh data are by way that is undefined cost hitter is X by our so minus one by one which is minus one and it's reciprocal safety to is also minus one now 10 3 to we have already found out to be zero and court theatre is and defined. So these are the answers. Okay, thank you.


Similar Solved Questions

5 answers
Find the first and second derivatives 9x5 Y = 5 2x+4e*d dy dx
Find the first and second derivatives 9x5 Y = 5 2x+4e* d dy dx...
5 answers
Write an equation for the function f(x) that is described by the given characteristics:A cosine curve with period of 153, an amplitude of 5, and vertical translation down units_{(x)
Write an equation for the function f(x) that is described by the given characteristics: A cosine curve with period of 153, an amplitude of 5, and vertical translation down units_ {(x)...
5 answers
Y 1 between the points 31) and Find the length of the arc cut from x = 6 2y(3,) pts)
y 1 between the points 31) and Find the length of the arc cut from x = 6 2y (3,) pts)...
5 answers
What happens to water when its temperature is reduced from 8OC to 4OC? Its volume decreases but its mass remains the same_ Its volume increases but its mass decreases_ None of the choices is correct. Its volume increases but its mass remains the same_ Its volume decreases but its mass increases_
What happens to water when its temperature is reduced from 8OC to 4OC? Its volume decreases but its mass remains the same_ Its volume increases but its mass decreases_ None of the choices is correct. Its volume increases but its mass remains the same_ Its volume decreases but its mass increases_...
4 answers
Question (4 points): Ifp(A) = (A 2)(42 +A _ 6) is the characteristic polynomial of a 3 x 3 matrix A. Then the multiplicity of the eigenvalue 2 isSelect one:None of the other choices_
Question (4 points): Ifp(A) = (A 2)(42 +A _ 6) is the characteristic polynomial of a 3 x 3 matrix A. Then the multiplicity of the eigenvalue 2 is Select one: None of the other choices_...
5 answers
Let $f(x) geq 0, f^{prime}(x) geq 0, f^{prime prime}(x) geq 0$ for $1 leq x<infty$. Show that$$0 leq sum_{1}^{n} f(k)-int_{1}^{n} f-frac{1}{2} f(n)-frac{1}{2} f(1) leq frac{1}{4} f^{prime}(n) ext { for } n geq 1 .$$
Let $f(x) geq 0, f^{prime}(x) geq 0, f^{prime prime}(x) geq 0$ for $1 leq x<infty$. Show that $$ 0 leq sum_{1}^{n} f(k)-int_{1}^{n} f-frac{1}{2} f(n)-frac{1}{2} f(1) leq frac{1}{4} f^{prime}(n) ext { for } n geq 1 . $$...
5 answers
Considct thc following KenerancAGQmo4 Dermintthe eadnumdet Eunchhat IR,/= WeeeenOeouracLnorocimeaeteEnmOccugeWecim olod ~FlCeorngGecreo Jccuracy Kaeon this means that the ansner ghouid aree withconrecBneier (tneedJeGma ple zez-)
Considct thc following Keneranc AGQmo 4 Dermintthe eadnumdet Eunchhat IR,/= Weeeen Oeourac LnorocimeaeteEnm Occuge Wecim olod ~Fl Ceorng Gecreo Jccuracy Kaeon this means that the ansner ghouid aree with conrecBneier (tneed JeGma ple zez-)...
5 answers
10. Given R module M and ideal in R, so that MI Prove that M is a Rh module against scalar multiplication operations (a + I)x ax for each x M and 0 + [ Rh Show that there is one-on-one correspondence between the subheading in M as the R module and the sub-module in M as R/- module
10. Given R module M and ideal in R, so that MI Prove that M is a Rh module against scalar multiplication operations (a + I)x ax for each x M and 0 + [ Rh Show that there is one-on-one correspondence between the subheading in M as the R module and the sub-module in M as R/- module...
5 answers
Which of the following are consistent with the requirements for aromaticity?A system with delocalized n electrons in a ring: Il: 4n 7 electrons in the ring: All the ring atoms must be carbons: IV: (4n 2) n electrons in the ring:1) 4,M; and IV2) |and Il3) | and IV4) !, Il,and IlI
Which of the following are consistent with the requirements for aromaticity? A system with delocalized n electrons in a ring: Il: 4n 7 electrons in the ring: All the ring atoms must be carbons: IV: (4n 2) n electrons in the ring: 1) 4,M; and IV 2) |and Il 3) | and IV 4) !, Il,and IlI...
1 answers
Express each relation as a table and as a graph. Then determine the domain and range. $$\{(0,1),(0,3),(0,5),(2,0)\}$$
Express each relation as a table and as a graph. Then determine the domain and range. $$\{(0,1),(0,3),(0,5),(2,0)\}$$...
5 answers
9 78'769 58'159 0L'09%658"08(SQUlod z) (s) #(Od)ieg (be) IDeN9 (be)*OdfeNZ (be) zi2e88 aidues U! -*Od JO % E7 BN 'S*SE 13 '91 '0 'LE :d 'LEL :28 'JV %i3e9 WSO 814n2122 pauirigo SeM aendpaid jo & 0028 0 'queudpaud se pasn seM 42IyM U! 'sisKyeue Juulaumejb buisn paullJalap sem *OdteN suiezuo) adues 6 05*021
9 78'76 9 58'15 9 0L'09 %658"08 (SQUlod z) (s) #(Od)ieg (be) IDeN9 (be)*OdfeNZ (be) zi2e88 aidues U! -*Od JO % E7 BN 'S*SE 13 '91 '0 'LE :d 'LEL :28 'JV %i3e9 WSO 814n2122 pauirigo SeM aendpaid jo & 0028 0 'queudpaud se pasn seM 42IyM U! &#x...
5 answers
In December 2019, the estimated population of Brazil was 275,326,000. The number of reported Covid-19 cases in 2019 was 17,357 of which 12,800 persons died. Calculate the incidence rate of Covid-19 (per 100,000 population)
In December 2019, the estimated population of Brazil was 275,326,000. The number of reported Covid-19 cases in 2019 was 17,357 of which 12,800 persons died. Calculate the incidence rate of Covid-19 (per 100,000 population)...
5 answers
Let H={;1+4} which represcnts the sct points onand inside Zipse ry-plane. Find to spccilc examplos His not a subspace of R? because thc tvo vectors shom tal H cksed under addition. (Use - comma separale vectos needed )vecicntVecidr &n0RcalarUox Ihat His nol & subspaco of R? .
Let H= {;1+4} which represcnts the sct points onand inside Zipse ry-plane. Find to spccilc examplos His not a subspace of R? because thc tvo vectors shom tal H cksed under addition. (Use - comma separale vectos needed ) vecicnt Vecidr &n0 Rcalar Uox Ihat His nol & subspaco of R? ....
5 answers
(a) Determine the end behavior of the graph of the function:The graph of f behaves like y = for large values of |x :
(a) Determine the end behavior of the graph of the function: The graph of f behaves like y = for large values of |x :...
5 answers
Find the derivative of the function. g(x) 200(5 0.1X)Need Help?Read ktIkktea @uterSubmit AnswerPractice Another Version-/0.34722222222 pointsHARMATHAP12 11.2.009Find the derivative of the function.3x2 4eNeed Help?Read ktIkktea @uter~/0.34722222222 pointsHARMATHAP12 11.2.015Find the derivative of the function. Y = e-I/x
Find the derivative of the function. g(x) 200(5 0.1X) Need Help? Read kt Ikktea @uter Submit Answer Practice Another Version -/0.34722222222 points HARMATHAP12 11.2.009 Find the derivative of the function. 3x2 4e Need Help? Read kt Ikktea @uter ~/0.34722222222 points HARMATHAP12 11.2.015 Find the de...

-- 0.020111--