Question

Prove tan 75 degree + cot 75 degree is equal to 4

Answer 1

Answer:

Step-by-step explanation:

Here,

tan75+cot75

=tan(45+30) + cot(45+30)

= $\frac{tan45+tan30}{1-tan45.tan30}+\frac{cot45.cot30-1}{cot30+ cot45}$

=$\frac{1+\frac{1}{\sqrt{3} } }{1-\frac{1}{\sqrt{3} } } +\frac{\sqrt{3}-1 }{\sqrt3+1} }$

= simplify remaining steps yourself.