Question

Solve the equation sin(x - 20°) = cos(42º) for x, where 0

Answer 1

`x = 68`

Explanation:

Sine are Cosine are Complementary Angles.

We can use this formula

`\sin(x) = \cos(y)`

when x+y=90.

Add the expressions in the parentents to 90 and solve for x.

`x - 20 + 42 = 90`

`x + 22 = 90`

`x = 68`

The answer is

`x = 68`