Verify that the equation is an identity.\frac{\cos\theta+1}{\tan^2\theta}=\frac{\cos\theta}{\sec\theta-1}

opatovaL

opatovaL

Answered question

2021-08-31

Verify that the equation is an identity.
cosθ+1tan2θ=cosθsecθ1

Answer & Explanation

Nola Robson

Nola Robson

Skilled2021-09-01Added 94 answers

Solution:
cosθ+1tan2θ=cosθsecθ1
RHS=cosθsecθ1×secθ+1secθ1
=cosθ(secθ+1)sec2θ1
=cosθsecθ+cosθtan2θ
=cos1cosθ+cosθtan2θ=1+cosθtan2θ
=cosθ+1tan2θ=LHS
RHS=LHS
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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