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.