Final Answer
Step-by-step Solution
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Starting from the left-hand side (LHS) of the identity
Rewrite $\frac{\sec\left(x\right)-\cos\left(x\right)}{\sec\left(x\right)}$ in terms of sine and cosine functions
Learn how to solve trigonometric identities problems step by step online.
$\frac{\sec\left(x\right)-\cos\left(x\right)}{\sec\left(x\right)}$
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (sec(x)-cos(x))/sec(x)=sin(x)^2. Starting from the left-hand side (LHS) of the identity. Rewrite \frac{\sec\left(x\right)-\cos\left(x\right)}{\sec\left(x\right)} in terms of sine and cosine functions. Combine all terms into a single fraction with \cos\left(x\right) as common denominator. Simplify the fraction \frac{\frac{1-\cos\left(x\right)^2}{\cos\left(x\right)}}{\frac{1}{\cos\left(x\right)}}.