Question

tan 5° × tan 30° × 4 tan 85° is equal to
A. 4/√3
B. 4√3
C. 1
D. 4

Answer 1

Answer:

OPTION A=4/root3 is the right answer

Answer 2

A. 4/√3

Step-by-step explanation:

Tan 5° * tan 30° * 4 tan 85° =  Tan (90° - 5°) * tan 30° * 4tan85°

= cot 85° * tan 30° * 4tan85°

As cotθ.tanθ = 1, we get: cot85°*tan85°= 1.

Applying this value, equation becomes:

 cot 85° * tan 30° * 4tan85° = 4* cot 85°* tan85°* tan30°

= 4 * 1 * tan 30°

= 4 * 1/√3  

= 4/√3

Option A is the answer.