In the equation below, the angle measures are in radians and a is a constant.

𝑠𝑖𝑛(𝜋/8)=𝑐𝑜𝑠(𝜋/𝑎)

Which of the following could be the value of a ?

Useful fact to remember: if and are complementary (i.e., they add up to 90° or radians), then .

So I bet the question is getting at what *a* must be to make the angles add up to ?

Of course, this question asks “which of the following” and there are actually an infinite number of answers, but that’s one of them.