Establish identity. 1-\frac{\sin^2\theta}{1-\cos\theta}=-\cos\theta

shadsiei

shadsiei

Answered question

2021-09-07

Establish identity
1sin2θ1cosθ=cosθ

Answer & Explanation

crocolylec

crocolylec

Skilled2021-09-08Added 100 answers

Given identity 1sin2θ1cosθ=cosθ
First from the left-hand side,
1sin2θ1cosθ
Here use the Pythagorean trigonometry identity, sin2θ=1cos2θ
1sin2θ1cosθ=11cos2θ1cosθ
=1(1cosθ)(1+cosθ)(1cosθ)
=11cosθ
=cosθ
Therefore it is established that the left-hand side equal to the right-hand side quantity.

Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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