Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Applying the trigonometric identity: $\sec\left(\theta \right)^2 = 1+\tan\left(\theta \right)^2$
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$2-\sec\left(x\right)^2$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity 2-sec(x)^2=1-tan(x)^2. Starting from the left-hand side (LHS) of the identity. Applying the trigonometric identity: \sec\left(\theta \right)^2 = 1+\tan\left(\theta \right)^2. Simplify the product -(1+\tan\left(x\right)^2). Subtract the values 2 and -1.