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Simplify $\left(\frac{\sin\left(y\right)}{\cos\left(y\right)}\right)^2$ into $\tan\left(y\right)^2$ by applying trigonometric identities
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$\int\tan\left(y\right)^2dy$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(((sin(y)/(cos(y))^2)dy. Simplify \left(\frac{\sin\left(y\right)}{\cos\left(y\right)}\right)^2 into \tan\left(y\right)^2 by applying trigonometric identities. Applying the trigonometric identity: \tan^2(\theta)=\sec(\theta)^2-1. Expand the integral \int\left(\sec\left(y\right)^2-1\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\sec\left(y\right)^2dy results in: \tan\left(y\right).