Question

evaluate: cot theta= (1+tan^2 60°/3 tan^3 45°) + (1- tan^2 30° / 1+ tan^2 60°) - (tan 75°cot 75°/ 2 tan^2 45°).

please answer fast and help me.​

Answer 1

HEY MATE YOUR ANSWER IS HERE...

★ BY USING TRIGNOMATERIC VALUES ★

$\tan(60) = \sqrt{3} \\ \\ \tan(45) = 1 \\ \\ \tan(30) = \frac{1}{ \sqrt{3} }$

★ AS WELL AS TRIGNOMATERIC RATIOS ★

TAN THETA × COT THETA = 1

THANKS FOR YOUR QUESTION...

HOPE IT HELPS ..

★ KEEP SMILING ☺️✌️★