Find the exact values of the six trigonometric functions of each angle 0_ (a)sin(e) =cos(0) =tan(0) =csc(0)sec(e)cot(0) =(b)(-5,12)sin(e) =cos(0)tan(0)csc(0)sec(e) ...

Determine the exact values of the six trigonometric functions of the angle $\boldsymbol{\theta}$. A. B.

Number 10 in this we have to find the values of all the 16 automatic functions so part A is this is X. This is why and this was minus 12 and minus five. This is our. So from here we can see that X equal to minus 12. Why call to minus five So I will be equal to always access choir plus Y squared under the square root and this is minus 12 square plus minus five squared under the square root so 144 25. So this will become 13. No scientific to will be put and of course it is like this scientists will be equal to at it's only way by asked so why why are it always minus five by 13. So it's reciprocal cause incredible vehicle to our by white Nearly 13 by minus fight and cost peter will be X by our so minus 12 by 13. It's reciprocal secreta will be our backs threatened by minus 12 dan pita will be equal to Y by X. So why is minus five by access minus 12? So five by 12. And it's reciprocal court theatre will be equal to X by Y. 12 by five. So these are the answers for party now part B. If you look at Pat Bay we have X equal to one and why call to minus one. So I will be called to access squared plus Y squared so under two. Yeah so science theater will be equal to uh X by our so one by route to is reciprocal contact eta will be equal to our bikes. That is simply route to cause theater will be equal to buy buy our I'm sorry we have just uh huh. Then something is wrong here because science data is why but not cost data. Scientific to is why by our so minus one by road to. Mm it's a reciprocal concentrator. Is our by Y. So minus route to simply. Yeah. You know a few days X by our so access one by are his route to and sector to. Is its reciprocal so simply a route to. Mhm. 10 3 days. Why? Buy uh Buy backs? So why is minus one by one? So minus one And corr theater will be again minus one. Reciprocal of minus one is minus one. So these are the answers. Yeah. Thank you.

Invest we need to find the values of all the 16 automatic functions. So in party if you look at it point is given as minus three minus 103. Call minus one. So access minus and wrote three. Why is minus one? So our will be equal to access square plus y squared. Underwrote so minus three old square 33 plus one. Which is too So let us get started scientist to is always why by our so y is minus one by two and it's a reciprocal corsetry to is always are but why? So two by minus one ultimately minus two cost it is X by our so minus route three by two and safety to is our backs. So to buy minus route three and if we could just rationalize it it will become to rule three by minus three Dante to will be provided by X. So why is minus one by minus rule three So one by rule three And if we rationalize like this it will become her route three by three and corr theater will always be equal to X by Y. That's the that is a route three. So these are the answers for party. Okay now part B in this access fall why is minus one? So our will be equal to access choir that is 16 plus one on the road 17 which means scientist to will be equal to Why by our so minus one by underwrote 17 and if you put a slice it will be minus underwrote 17 by 17 cause a twitter mr speaker will be equal to or by why that is minus under out 17 then cost hitter will be equal to X by our so X. Is for by under 17 and if you slide it will become four under 17 by 17 and safety to reciprocal of course later is our backs under 17 by four. Okay. And 10 theater will be equal to Y by X. So why is minus one by four? And it's reciprocal court theatre will be equal to X by Y. That is four by minus one, ultimately minus four. So these are the answers for barbie. Yeah. Okay. And these are the complete answers. Thank.

We have all the number 12 in this we need to find the values of all the six automatic functions. So in this case we have X equal to three Y equal to one. So I will be equal to access choir plus Y squared underwrote so three square nine plus one under route 10. Okay so if this is under 10 so let us find all the values scientist to will be equal to why by our so why is three by our is under 10. So let us rationalize it by multiplying and dividing with under 10. So 310 by then now receive local of scientific cause acquittal which thereby why? So this is under 10 by mhm Okay and they'll tend by of one. It is under 10 here there's a mistake that simply it should have been one by under 10 because why is 110 button? No problem now because it is X by our so three by under 10. Now if we slice it will become three under 10 by 10. And it's a reciprocal safety to will be equal to our by X. So are by X means simply rule 10 by three. Under 10 by three and ah Dante to will be equal to why by X. So why is uh one by three? And it's reciprocal quarter three days X by Y. So simply tree. So these are the answers for part A. Now for part B we have X equal to minus four. Y. Equal to four. Which means I will be equal to 16 plus that is access squared plus Y squared. So under 32. So four under road to no scientist to will be equal to why by our so why buy our means? Oh why is fought by 400 to this is one by under route to. And if we sliced by multiplying and dividing with her route to, it will become a route two by two. Mhm. And it's receive local scientists vocal of scientists, Cossack theater. It will become equal to our by why? So are by women's or simply route to no cost three days X by our so X is minus four by four or two. So minus one by route to. If you slide it will become a route to buy two with negative science. And it's a ah what we say it's ah reciprocal that is reciprocal. Of course theater are by X. So minus route to simply and 10. Theater is always why by X. So why is four by minus four which is minus one? And the reciprocal of 10 theory according to which is X by Y ultimately minus one. So these are the and says for part B. Thank you.

To find the six trig functions of a 390 degree angle recognized that 390 is the same. That's 30 because one revolution is 60 degrees, and so the difference between 3 93 60 is 30. So we're using the ordered pair spent 3/2 1 hat, which means that the remember it's co sign sign for our X Y coordinates with the co sign of 390 degrees is equal to the square to 3/2 in the sign of 390 degrees is equal to one hat. The chances of 390 degrees would be the sign over the co sign, which is equal to 1/2 times the reciprocal in the twos. Cancel. You have won over Square Root three, which is this rare root of 3/3. Then we go receptacles seeking of 390 degrees Would be there's the reciprocal co sign, which is too scary. 3/3. Theo, The coast seeking of 390 degrees, would be equal to the reciprocal of Sign, which is to and Coach Tangent of 390 degrees would be the reciprocal two tangent or the scared of 3/1, which is the spirit of three