Question

Csc α - sin α =cos α cot α
Show how this is an identity?

Answer 1

Answer: sin(2α) = 2sinα cosα

Step-by-step explanation: PLATO

sin(α + α) = sinα cosα + cosα sinα

add the terms, which are identical, together

sin(2α) = 2sinα cosα

Answer 2

csc a - sin a = cos a cot a
1/sin a - sin a = cos a (cos a / sin a)
(1 - sin^2 a)/sin a = cos^2 a/sin a
cos^2 a/sin a = cos^2 a/sin a

Therefore, the given equation is an identity.