Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2$
Learn how to solve trigonometric identities problems step by step online.
$\left(1+\tan\left(y\right)^2\right)\cos\left(y\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (1+tan(y)^2)cos(y)^2=1. Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: 1+\tan\left(\theta \right)^2 = \sec\left(\theta \right)^2. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Multiplying the fraction by \cos\left(y\right)^2.