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Starting from the left-hand side (LHS) of the identity
Learn how to solve integral calculus problems step by step online.
$\frac{\sin\left(x\right)^2-\cos\left(x\right)^2}{\sin\left(x\right)+\cos\left(x\right)}$
Learn how to solve integral calculus problems step by step online. Prove the trigonometric identity (sin(x)^2-cos(x)^2)/(sin(x)+cos(x))=sin(x)-cos(x). Starting from the left-hand side (LHS) of the identity. Simplify \sqrt{\sin\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}. Any expression multiplied by 1 is equal to itself. 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}.