Final answer to the problem
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 sin(x-y)/(cos(x)sin(y))=tan(x)cot(y)-1. section:I. Express the LHS in terms of sine and cosine and simplify. Start from the LHS (left-hand side). Using the sine of a sum formula: \sin(\alpha\pm\beta)=\sin(\alpha)\cos(\beta)\pm\cos(\alpha)\sin(\beta), where angle \alpha equals x, and angle \beta equals -y. Expand the fraction \frac{\sin\left(x\right)\cos\left(y\right)-\cos\left(x\right)\sin\left(y\right)}{\cos\left(x\right)\sin\left(y\right)} into 2 simpler fractions with common denominator \cos\left(x\right)\sin\left(y\right).