Question

The sine and cosine of one of the acute angles in a right triangle are equal. What is the tangent of the angle?

Answer 1

Answer:

1

Step-by-step explanation:

Since tan(x) = sin(x)/cos(x), if sin(x) = cos(x) then tan(x) must be 1.

You can even reason that the acute angle is 45° and sin(x)=cos(x) = $\frac12\sqrt2$.