SOLUTION: if sin 61 = k, with the use of a sketch and without using calculator, determine the value of the following interms of k cos 29 sin 122

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Question 1074582: if sin 61 = k, with the use of a sketch and without using calculator, determine the value of the following interms of k
cos 29
sin 122
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
61%5Eo%2B29%5Eo=90%5Eo ,
so those two angles could be part of a right triangle.
We could even picture the triangle in the unit circle,
with hypotenuse=1 and leg lengths
sin%2861%5Eo%29=cos%2829%5Eo%29=k and cos%2861%5Eo%29=sin%2829%5Eo%29=sqrt%281-k%5E2%29
so far you have the answer highlight%28cos%2829%5Eo%29=k%29

You also have cos%2861%5Eo%29=sqrt%281-k%5E2%29 , which can be used,
along with sin%2861%5Eo%29=k , and the trigonometric identity
sin%282A%29=2%2Asin%28A%29%2Acos%28A%29 , to find an expression for
sin%28122%5Eo%29=sin%282%2A61%5Eo%29 .