If cos(w°) = sin(z°), which of the following statements is true?

Step-by-step explanation:

The complete question is shown in the attachment.

If  cos(w°) = sin(z°), then we need to use the fact that the sine and cosine functions are complementary to establish a meaningful relation.

Note that: .

When we compare the RHS of this identity to cos(w°) = sin(z°), then it follows that

From triangle ADB, .

We now substitute x=90-w into z=90-w to obtain .

Also from the diagram, and

Since cos(w°) = sin(z°), , hence

Putting all together, we have :

a. is correct