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- Express in terms of sine and cosine
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- Express in terms of Sine
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Applying the trigonometric identity: $1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2$
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$\frac{\sec\left(u\right)^2}{1-\tan\left(u\right)^2}=\frac{1}{\cos\left(u\right)^2-\sin\left(u\right)}$
Learn how to solve trigonometric equations problems step by step online. Solve the trigonometric equation (1+tan(u)^2)/(1-tan(u)^2)=1/(cos(u)^2-sin(u)). Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. Inverting the equation. Expand the fraction \frac{1-\tan\left(u\right)^2}{\sec\left(u\right)^2} into 2 simpler fractions with common denominator \sec\left(u\right)^2. Applying the trigonometric identity: \displaystyle\frac{1}{\sec^{n}(\theta)}=\cos^{n}(\theta).
