Question

Cot ∅=√3, find cos²∅-sin²∅

Answer 1

Solution :

cot ∅ = Base / Perpendicular = √3/1

So, Hypotenuse = 2 units

Cos∅ = Base /Hypotenuse = √3/2

Sin ∅ = Perpendicular /Hypotenuse = 1/2

cos²∅-sin²∅ = 3/4 - 1/4 = 2/4 = 1/2

cos²∅-sin²∅ = 1/2

Answer 2

This is your required answer.

Hope this helps you.