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1Here, we show you a step-by-step solved example of simplify trigonometric expressions. This solution was automatically generated by our smart calculator:
$\frac{1-sin\left(x\right)^2}{csc\left(x\right)^2-1}$ 2Applying the trigonometric identity: $\csc\left(\theta \right)^2-1 = \cot\left(\theta \right)^2$
$\frac{1-\sin\left(x\right)^2}{\cot\left(x\right)^2}$ 3Apply the trigonometric identity: $1-\sin\left(\theta \right)^2$$=\cos\left(\theta \right)^2$
$\frac{\cos\left(x\right)^2}{\cot\left(x\right)^2}$ 4Apply the trigonometric identity: $\cot(x)=\frac{\cos(x)}{\sin(x)}$
$\frac{\cos\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}$ 5Divide fractions $\frac{\cos\left(x\right)^2}{\frac{\cos\left(x\right)^2}{\sin\left(x\right)^2}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
$\frac{\cos\left(x\right)^2\sin\left(x\right)^2}{\cos\left(x\right)^2}$ 6Simplify 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 to the exercise
$\sin\left(x\right)^2$ Are you struggling with math?
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$\frac{\sin\left(x\right)}{\cos\left(x\right)-\cos^3\left(x\right)}$ 150 views $cos\left(\frac{\pi}{2}-u\right)$ 149 views $\frac{\sec\left(x\right)}{\sin\left(x\right)}\left(1-\cos^2\left(x\right)\right)$ 133 views $\frac{\left(sec\:a\:-\:tana\right)}{seca\:+\:tan\:a}$ 114 views $\frac{1+csc}{1+sin}$ 113 views $\left(1+sinx+cosx\right)^2$ 110 views $\frac{1}{secx+1}-\frac{1}{secx-1}$ 103 views $\frac{\left(1+cos\left(t\right)\right)}{1+sec\left(t\right)}$ 102 viewsTag » How To Simplify Trig Expressions
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