Login

if cos theta = 2t/ 1+ t square, find cosec and cot

$Given cos θ = \frac{2 t}{1 + t^{2}} L e t t = \tan θ \Rightarrow \cos θ = \frac{2 \tan θ}{1 + \tan^{2} θ} = \sin 2 θ \Rightarrow \cos θ = \sin 2 θ \Rightarrow \cos θ = 2 \sin θ \cos θ \Rightarrow 2 \sin θ = 1 \Rightarrow \sin θ = \frac{1}{2} = \sin 30 \Rightarrow θ = 30^{0} \Rightarrow \csc θ = \csc 30 = 2 \Rightarrow \cot θ = \cot 30 = \sqrt{3}$

-1

View Full Answer

Copyright © 2024 Aakash EduTech Pvt. Ltd. All rights reserved.

Aakash EduTech Pvt. Ltd.

What are you looking for?