Question

Which pair are equal trig values? A) tan 45° and sin 45° B) sin 40° and sin 50° C) sin 36° and cos 54° D) cos 65° and sin 65°

Answer 1

option C

`sin(36\°)\ and\ cos(54\°)`

Explanation:

we know that

If

`\alpha+\beta=90\°` -------> complementary angles

then

`sin(\alpha)=cos(\beta)`

In this problem

the option C

we have that

`36\°+54\°=90\°` -------> complementary angles

so

`sin(36\°)=cos(54\°)`