Step-by-step Solution

Solve the trigonometric equation $\sin\left(x\right)^2\left(1+\cot\left(x\right)^2\right)=1$

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Step-by-step explanation

Problem to solve:

$\sin^2\left(x\right)\left(1+\cot^2\left(x\right)\right)=1$

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

$1+\cot\left(x\right)^2=\sin\left(x\right)^{-2}$

Unlock this full step-by-step solution!

Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation sin(x)^2(1+cot(x)^2)=1. Multiply the equation by the reciprocal of \sin\left(x\right)^2. Apply the formula: \sin\left(x\right)^n=\csc\left(x\right)^{-n}, where n=-2. Grouping terms. Moving the term 1 to the other side of the equation with opposite sign.

Final Answer

true

Problem Analysis

$\sin^2\left(x\right)\left(1+\cot^2\left(x\right)\right)=1$

Related formulas:

1. See formulas

Time to solve it:

~ 0.07 seconds