Which of the statements below provides evidence that sine and cosine are cofunctions?

sin(30°)=cos(30°)
sin(60°)=-cos(60°)
sin(30°)=cos(-30°)
sin(30°)=cos(60°)

Respuesta :

The sine of an angle equals the cosine of its complement.

Answer: D. sin(30°) = cos(60°)

Answer:

Option D. is the answer.

Step-by-step explanation:

In this question we have to find the statement that provides incidence that sine and cosine are co-functions.

As we know co function identities clearly say

([tex]sin(\frac{\pi }{2}-x)=cosx[/tex]

A. For x = 30° or [tex]\frac{\pi }{6}[/tex]

[tex]sin(\frac{\pi }{2}-\frac{\pi }{6})=cos(\frac{\pi }{6})[/tex]

[tex]sin\frac{\pi }{3}=cos\frac{\pi }{6}[/tex]

Or [tex]sin(60)=cos(30)[/tex]

B. For x = 60°

sin(90-60) = cos(60)

sin(30) = cos(60)

Which is similar to option D.

Therefore, Option D. is the the correct answer.