Question

The question is in the picture. I’ll give brainly if correct!!

Answer 1

Answer:

$\huge\boxed{\sf -sin \theta}$

Step-by-step explanation:

Given expression:

= cos (270 - θ)

We can write 270 as 180 + 90

= cos (180 + 90 - θ)

= cos {(180 + (90 - θ)}      (cos 180 = -1)

= -1 {cos (90 - θ)}              (cos (90 - θ) = sin θ)

= -1(sin θ)

= -sin θ

I think there is some problem in the options.

$\rule[225]{225}{2}$

Hope this helped!

~AH1807

Answer 2

Answer:

cos(270-theta)

= cos{180+(90-theta)}

=-cos theta(90-theta)

=-sin theta