Question

Express each function as a function of an acute angleA) tan 226B) sin(-46.6)

Answer 1

Explanation

Part 1: tan 226

Angle 226 lies in the third quadrant. This can be seen below.

In the above, the principal angle is 226, therefore, the acute angle becomes,

$226-180=46$

Since tan is positive in the third quadrant, therefore

Answer: tan 46

Part B: Sin-46.6

In trigonomtery,

$sin(-a)=-sina$

Therefore;

$sin(-46.6)=-sin46.6$

Answer: -sin 46.6