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Use fundamenial Identities andor the complementary angle theorem to find the exact value of the expression. Do nof use & calculator co3 37" tan 538 cos 53&...

Question

Use fundamenial Identities andor the complementary angle theorem to find the exact value of the expression. Do nof use & calculator co3 37" tan 538 cos 53"cos 379 tan 539 cos 538 (Simplily your answer; Including any radicals . Use inlegers Iractions (or any numbers Ihe expession )

Use fundamenial Identities andor the complementary angle theorem to find the exact value of the expression. Do nof use & calculator co3 37" tan 538 cos 53" cos 379 tan 539 cos 538 (Simplily your answer; Including any radicals . Use inlegers Iractions (or any numbers Ihe expession )



Answers

Use Fundamental Identities and/or the Complementary Angle Theorem to find the exact value of each expression. Do not use a calculator. $$\frac{\cos 13^{\circ}}{\sin 77^{\circ}}$$

For this problem we are going to find the solution of this expression. So we have signed 38 minus co signed 52. One of the rose is signed is equal to co sign 90 minus or angle. So that's going to give us the angle for signs. So sign Yeah, angle and then 90 minus 52. That's gonna give us 38. Yeah. So the angle of our sign is going to be 38 and we're gonna substitute that back into our problem. So we have signed 38 minus, signed 38 again, and that's gonna give us zero.

For this problem. We are going to find the solution of this expression. We have co sign 35 signed 55 plus coast on 55. 35. Yeah. So we know that. Go sign and sign. Those are going to be complementary angles. So if I want to change this, co sign 35 into a sign, I'm going to use the common function. Co sign 35 and set it equal to sign 90°- that 35. So co signed 35. It's going to be the same thing as sign And then 99 is 35. That's gonna give me my 55. I'm gonna substitute assigned 55. What that call sign 35. So at the beginning I'm gonna have signed 55 Time signed 55 plus Co signed 55. I'm going to do the same thing with the same 35. I'm going to do the co function. So signed 35. It's going to be equal to co sign 90 -13. So sign 35 it's going to be equal to co sign In the 1990s 35. It's Gonna Give Me 54. So I'm gonna substitute that sign 35 with the CO sign 55 Which is going to equal just at the beginning. It's going to be signed 55 plus go sign 55 and then are put together and I didn't eat states that sign plus co sign when I add sine squared and if my angle through my sign and co sign are the same, It's going to be equal to one. So sign 55 plus co signed 55 It's going to equal one.

This is problem number 73. We are given the following expression enter tasked with using our identities in order to find exact values initially. At first glance, this looks quite daunting, though we can immediately notice that this whole expression is in the form of our co signed difference formula where we have are A in this case Equal to 74 And our be equal to 44. So we can then rewrite this whole thing as the co sign of 74 minus 44 which is equal to the co sign of 30 degrees. This we can solve exactly with our common angles, Which will give us an exact value of the square root of three over to

This is problem # 44. We are given the following expression and are tasked with using our identities in order to find the exact value. At first glance, this looks quite daunting, though. We can notice that the entire expression is in the form of our sign some formula. So if we identify our X and Y, or A and B, whichever we like to call them, we will have our A. As 22° and R. B as 38 degrees. We can then rewrite this in terms of just a single sign expression, giving us a sign of 22° Plus 38°, Which is equal to the sign of 60°. This can be evaluate exactly using our common angles and we get an overall value of the square root Of 3/2.


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