Establish identity. \frac{\sec\theta}{\csc\theta}+\frac{\sin\theta}{\cos\theta}=2\tan\theta

coexpennan

coexpennan

Answered question

2021-09-10

Establish identity
secθcscθ+sinθcosθ=2tanθ

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-09-11Added 169 answers

Given identity secθcscθ+sinθcosθ=2tanθ
First from the left-hand side,
secθcscθ+sinθcosθ
Here use the trigonometry reciprocal identity, secθ=1cosθ and cscθ=1sinθ
secθcscθ+sinθcosθ=1cosθ1sinθ+sinθcosθ
=sinθcosθ+sinθcosθ
=2tanθ
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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