Question

Given A is an acute angle and 13 sin A 5, evaluate: (5 sin A 2 cos A)/ tan A

Answer 1

To evaluate the given expression, we first find the values of sin A and cos A using the given equation. Then, we substitute these values in the expression and simplify to get the final answer.

Step-by-step explanation:

In this question, we are given that A is an acute angle and 13 sin A = 5. We need to evaluate the expression (5 sin A * 2 cos A) / tan A.

First, let's find the values of sin A and cos A using the given equation. We have 13 sin A = 5, which gives sin A = 5/13. Using the identity cos² A = 1 - sin² A, we can find cos² A as 1 - (5/13)².

Next, we substitute the values of sin A, cos A, and tan A in the expression (5 sin A * 2 cos A) / tan A and simplify to get the final answer.