SSC CGL 2023 PYQ — Question 56

The correct answer is Option 3 i.e. 0.

sin (50 + $\theta$) - cos(40 - $\theta$)

Formula used:

sin(90 - $\theta$) = cos $\theta$

cos(90 - $\theta$) = sin $\theta$

Now, according to the question

⇒ sin (50° + $\theta$) - cos (40° - $\theta$)

⇒ sin(90 - (40 - $\theta$)) - cos(40 - $\theta$)

⇒ cos(40 - $\theta$) - cos(40 - $\theta$) = 0