Final Answer
Step-by-step Solution
Specify the solving method
I. Express the LHS in terms of sine and cosine and simplify
Start from the LHS (left-hand side)
Learn how to solve trigonometric identities problems step by step online.
Learn how to solve trigonometric identities problems step by step online. Prove the trigonometric identity (cos(x)^2-sin(x)^2)/(cos(x)^2+sin(x)cos(x))=1-tan(x). section:I. Express the LHS in terms of sine and cosine and simplify. Start from the LHS (left-hand side). Factor the polynomial \cos\left(x\right)^2+\sin\left(x\right)\cos\left(x\right) by it's greatest common factor (GCF): \cos\left(x\right). Simplify \sqrt{\cos\left(x\right)^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}.