Final answer:
To verify the identity sin(pi/2-x)/sin x=cot x, we can use trigonometric identities.
Step-by-step explanation:
To verify the identity sin(pi/2-x)/sin x=cot x, we can use trigonometric identities.
Starting with the left side of the equation, we have sin(pi/2 - x), which can be rewritten as cos(x). Then, divided by sin(x).
The right side of the equation is cot(x), which is equal to cos(x)/sin(x).
So, both sides of the equation are equal, and the identity is verified.