According to the cofunction identities, cosine (90 degrees minus theta )equals cotangent (90 degrees minus theta )equals and cosecant (90 degrees minus theta )equals

cosine (90-θ) = sine (θ)  

Cotangent (90 - θ) = tangent (θ)

Cosecant (90 - θ) = secant (θ)

Explanation:

The cofunction identities show the relationship between one function and its cofunction regarding complement angles.

Recall that the 3 pairs of cofunctions are:

The cofunction identity states that the value of a trigonometric function of an angle equals the value of the cofunction of the complement angle.

(Remember that complement angles are two angles whose sum is 90)

So if we have an angle θ, then the complement is 90 - θ (since θ + (90 - θ) = θ +  90 - θ = 90)

Thus we have that: