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Simplify Trigonometric Expressions Calculator

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1

Solved example of simplify trigonometric expressions

$\frac{1-sin\left(x\right)^2}{csc\left(x\right)^2-1}$
2

Applying the trigonometric identity: $\cot^2(\theta)=\csc(\theta)^2-1$

$\frac{1-\sin\left(x\right)^2}{\cot\left(x\right)^2}$
3

Apply the trigonometric identity: $1-\sin\left(x\right)^2$$=\cos\left(x\right)^2$

$\frac{\cos\left(x\right)^2}{\cot\left(x\right)^2}$
4

Apply the trigonometric identity: $\cot(x)=\frac{\cos(x)}{\sin(x)}$

$\frac{\cos\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}$
5

Divide fractions $\frac{\cos\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$

$\frac{\cos\left(x\right)^2\sin\left(x\right)^2}{\cos\left(x\right)^2}$
6

Simplify the fraction $\frac{\cos\left(x\right)^2\sin\left(x\right)^2}{\cos\left(x\right)^2}$ by $\cos\left(x\right)^2$

$\sin\left(x\right)^2$

Final Answer

$\sin\left(x\right)^2$

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