Question

Verify (prove whether true or false)
sec^2a+csc^2a= 1/sin^2acos^2a

Answer 1

The expression is true

Explanation:

• Step 1: Prove the expression true or false. sec²a + cosec²a = 1/sin²a cos²a

Left Hand Side = sec²a + cosec²a = 1/cos²a + 1/sin²a

= sin²a + cos²a/sin²a cos²a (∵ sin²a + cos²a = 1)

= 1/sin²a cos²a (∵ sin²a + cos²a = 1)

= Right Hand Side