The two acute angles of a right triangle have degree measures of x and y. If sinsinx = 5/13513, what is the value of coscos y?

2 Answers

cos y = 5/13cosy=513

Explanation:

xx and yy are complementary.

sin x = 5/13 = (opp)/(hyp)sinx=513=opphyp

However, the side opposite (opp) the angle xx is also the side adjacent (adj) to angle yy.

cos y = (adj)/(hyp) = 5/13cosy=adjhyp=513

May 18, 2018

5/13513.

Explanation:

Clearly, x+y=90^@x+y=90.

:. y=90^@-x.

:. cosy=cos(90^@-x)=sinx=5/13, as Respected Mr. Hsia

has readily derived!