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Expand the fraction $\frac{\tan\left(x\right)^2+2\sin\left(x\right)^2}{\tan\left(x\right)^2}$ into $2$ simpler fractions with common denominator $\tan\left(x\right)^2$
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$\frac{\tan\left(x\right)^2}{\tan\left(x\right)^2}+\frac{2\sin\left(x\right)^2}{\tan\left(x\right)^2}=1+\cos\left(x\right)^2$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (tan(x)^2+2sin(x)^2)/(tan(x)^2)=1+cos(x)^2. Expand the fraction \frac{\tan\left(x\right)^2+2\sin\left(x\right)^2}{\tan\left(x\right)^2} into 2 simpler fractions with common denominator \tan\left(x\right)^2. Simplify the resulting fractions. Apply the trigonometric identity: \frac{\sin\left(\theta \right)^n}{\tan\left(\theta \right)^n}=\cos\left(\theta \right)^n, where n=2. Move everything to the left hand side of the equation.