Question

Take a moment to skim this page on co-function identities. Once you have done so, complete the following identities.sin(π/2−x)=cos(π/2−x)=tan(π/2−x)=

Answer 1

Given the following functions:

sin(π/2−x)

cos(π/2−x)

tan(π/2−x)

Let's determine their respective co-function identity.

sin(π/2−x) = cosx

cos(π/2−x) = sinx

tan(π/2−x) = cotx

The cofunction identities show the relationship between sine, cosine, tangent, cotangent, secant and cosecant. The value of a trigonometric function of an angle equals the value of the cofunction of the complement.