Question

\( \frac{\operatorname{cosec} \theta}{1+\sec \theta}+\frac{1+\sec \theta}{\operatorname{cosec} \theta}=2 \operatorname{cosec}^{3} \theta[\sec \theta-1] \)

Name: (cosecθ)/(1+secθ)+(1+secθ)/(cosecθ)=2 cosec^3θ[secθ-1]
Uploaded: 2024-08-19T15:11:44-08:00
Duration: 1 min 57 s
Channel: Prabhakar Kumar
Description: (cosecθ)/(1+secθ)+(1+secθ)/(cosecθ)=2 cosec^3θ[secθ-1]

          \( \frac{\operatorname{cosec} \theta}{1+\sec \theta}+\frac{1+\sec \theta}{\operatorname{cosec} \theta}=2 \operatorname{cosec}^{3} \theta[\sec \theta-1] \)

Added by Joel W.

Precalculus

David Cohen, Theodore B. Lee, David… 7th Edition

Chapter 7

Instant Answer

Solved by Expert Prabhakar Kumar

08/19/2024

Step 1

Step 1: Start with the given equation: \[ \frac{\operatorname{cosec} \theta}{1+\sec \theta} + \frac{1+\sec \theta}{\operatorname{cosec} \theta} = 2 \operatorname{cosec}^{3} \theta (\sec \theta - 1) \] Show more…

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\( \frac{\operatorname{cosec} \theta}{1+\sec \theta}+\frac{1+\sec \theta}{\operatorname{cosec} \theta}=2 \operatorname{cosec}^{3} \theta[\sec \theta-1] \)