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Ratlo Tert] Ihing UatFind Insnalu cunverectics ES tzryTuntuont cenLored for the following Find Poter sens Intervul of convergcncc0)73+7{x)-5, 8-Jdaenulaplnt...

Question

Ratlo Tert] Ihing UatFind Insnalu cunverectics ES tzryTuntuont cenLored for the following Find Poter sens Intervul of convergcncc0)73+7{x)-5, 8-Jdaenulaplnt

Ratlo Tert] Ihing Uat Find Insnalu cunverectics ES tzry Tuntuont cenLored for the following Find Poter sens Intervul of convergcncc 0)73+7 {x)-5, 8-J daenula plnt



Answers

Sin $t$ and cos $t$ are given. Use identities to find tan $t,$ csc $t,$ sec $t,$ and cot $t .$ Where necessary, rationalize denominators. $$\sin t=\frac{3}{5}, \cos t=\frac{4}{5}$$

We are going to do problem number 49. Okay. So in this question, what we need to do is we need to just find the value of F Plus G and at 30 degree. Okay. We have to find for this. So let us just right the function F of X which is given to us that has given a Synnex and G fx which has given us cossacks. Okay, so F less G of 30. So this will be simply we have to add this ffx plus G fx function that is F plus G. So this will be equals to sign our facts plus course of facts. Okay, so sign experts cortex. No, we can write this F plus G of 13 and say we have to put X equals to 30 in this case. So this will be equals to sine of 30 plus cause of 30. Okay, so this will be called to sign 30 is one by two and cost 30 is under rule three by two. So if you just sell discussion further than this will be too and this is one plus under Route three, one person that would create by two is the answer. In this case that is F plus G. Of 30 degrees. So this is the answer. Thank you very much.

Hi there. So today we're gonna work on question 4.2, number 26. Where were Arcs to fine. 10. Course he can't seek it. And co tangent. Parents sign and co sign this question is testing the fact that if you know what sign and cool sign are, then you can use them to find the rest of the functions. And so what I've done so far on the right is too. Show you all of the chicken a metric identities so that we can have them easily to reference through our problem. Okay, So for number 26 we're given that sign T is equal to 3/5 and co sign T is equal to 4/5. Okay. And so now the 1st 1 that's that we need to find is 10 tante. And so if we look over to our right, we see that 10 um can be to find two different ways using geometric identities there, one over, coat, engine, a tea or sign t over co sign t. And since we have signing close on so defined so far, then it's probably easiest to use this identity. And so, given that 10 t is to find the sign. T over co sign T 3/5 dishes equal 3/5 over 4/5, which is the same as saying 3/5 times five or four. And this cancels out, are two fives and leaves us with 3/4. Okay, now the next function will lead to solve four is CO c can't at T. And if we look over to our right, um, we see that that's a fine Through the identity Kosi can t is equal to one over scientific and so 1/70. That means it's equal to 1/3 over five, which is the same as multiplying by the inverse, which is just 5/3. Next we need to solve for C kin AT T. And if we look over to our right, seeking FT is defined with the identity that equals one co sign over teeth. And so this means that it's 1/4 over five, which is the same as most supplying by the inverse, which gives us 5/4, okay, and next. And lastly, we need to solve for co tangent t and looking at the right we see the coat agency can also be defined in two different ways. Either 1/10 tea or co sign t over scientific until looking at that, the easiest form again is using the coastline and signed version since we already know what they are. And we also just worked out that Tante, which is signed over co sign, is equal to 3/4. And since co tension is the opposite, it's co sign t over scientist E. We can just use the inverse of 3/4 to have my coat engine equal 4/3. And so my final answers are town of tea or 3/4 co c can A. T is five or three c can t is 5/4 and coat engine T is for over three and there we have it.

So here we're asked two plot the Lozada's figures and it's going to start looking like the point X. Y. However, we can have very, we can have X vary with respect to time and why vary with respect to time or just some variable T. So we're gonna have five coats in P plus two. That's our X coordinates. There are Y coordinates are going to be five sign T. Last three. So looking at this, it appears that two pi will probably be what we need. Um And that appears to complete the graph. However, if we have a pie, we only get half the circles, that means to pie, it's absolutely necessary to get the full circle says it's gonna be the equation of a circle centered at looks like two negative three. So that's going to be our final answer.

On the governor entertained the elections. We have signed X minus five. Pi were too. So let us take access A and five Roberto us be So this is the formula for signed A minus B, which is signed A because b minus course it sign. Be so That is a quarto sine X, And to cost 55 to 0 minus Cossacks. And to sign 55 or two is one. So that will call to zero. Minus Cossacks. You called toe minus Cossacks on Desiderio, Jess and soda proved that entity.


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