Question

Which of the following is correct? 

A. sin 1°> sin 1  

B. sin 1°< sin 1 

C. sin 1° = sin 1 

D. sin 1° = π/18° sin 1

[Hint: 1 radian = 180°/π = 57°30’ approx.]

Answer 1

B. sin 1°< sin 1

We know that, 1 radian = 180°/π = 57°30’ approx.

57° lies between 0 and 90 degrees and since in first quadrant sin θ increases when θ increases.

⇒ sin 1°< sin 1