Question

Evaluate cos 80 degree ÷ sin 10 degree​

Answer 1

Answer: 15.40205

Explanation:

The expression "cos 80° ÷ sin 10°" can be evaluated using the reciprocal identity of sine and cosine.

First, we convert 80° to its radian equivalent: 80° x (π/180°) = 4π/9 radians.

Next, we use the reciprocal identity of sine and cosine:

cos (θ) ÷ sin (θ) = cot (θ)

So,

cos 80° ÷ sin 10° = cot (10°).

The value of cot (10°) can be found using a calculator or a table of trigonometric values. The exact value is approximately 15.40205.