Question

Verify the identity.

cotx minus pi divided by two. = -tan x

Answer 1

@ganeshie8 @uri

Answer 2

@AriPotta

Answer 3

@Elsa213

Answer 4

It's actually false.

Do as follows:

Use the identity:

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

In your question A = x and B = π/2

So substitute into the identity:

sin(x - π/2) = sin(x)cos(π/2) - cos(x) sin(π/2)
sin(x - π/2) = sin(x)(0) - cos(x)(1)
sin(x - π/2) = -cos(x)

Remember that sin(π/2) = 1 and that cos(π/2) = 0.