Question

Complete the following equations with the correct values.

sin(____) = cos(75)
cos(x) = sin(____-x)

Answer 1

first blank: 15

second blank: 90

Explanation:

Obviously, sin and cos are related, but they are not the same thing. In order for them to be equal:

sin(____) = cos(75)

the angles have to add up to 90 (complementary)

What + 75 is 90?

Do a tiny calc:

90 - 75 is 15

The second question is stating the rule generically.

x + (90 - x) is 90