Question

prove that , tan 75°-cot 75°=4 sin60°​

Answer 1

Answer:

Tan75° = 2 +√3

Cot75° = 2 -√3

now put these values in the given question

tan75° - cot 75° = 4 sin60°

2+√3 - (2-√3) = 4 sin60°

2+√3 - 2 + √3 = 4 × √3/2

√3+√3 = 2×√3

2√3 = 2√3

Step-by-step explanation: