Question

Prove that
tan 75° - cot 75° = 4sin 60°

Answer 1

Step-by-step explanation:for this we have to calculate the value of cot 75°

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

hence it is proved