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Step-by-step Solution

Solve the trigonometric equation $\frac{\csc\left(a\right)^2-1}{\csc\left(a\right)+1}=\frac{1}{\sin\left(a\right)}-1$

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Step-by-step explanation

Problem to solve:

$\frac{\csc^2a-1}{\csc a+1}=\frac{1}{\sin a}-1$

Learn how to solve trigonometric equations problems step by step online.

$\frac{\csc\left(a\right)^2-1}{\csc\left(a\right)+1}=\csc\left(a\right)-1$

Unlock this full step-by-step solution!

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (csc(a)^2-1)/(csc(a)+1)=1/(sin(a)-1. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Inverting the equation. Apply fraction cross-multiplication. Grouping terms.

Answer

true

Problem Analysis

$\frac{\csc^2a-1}{\csc a+1}=\frac{1}{\sin a}-1$

Time to solve it:

~ 0.06 seconds