Question

which is greatest? sin1 sin3 sin7 sin2pie not in degrees.

Answer 1

Answer:

We know , Sine function increases from 0 to 1 in the interval [ 0 , 90° or pi/2] . Hence , in degrees , sin 3° will be greater then other two.

Sin 3° > Sin 2° > Sin 1° ( In Degrees)

In radians , 1 radian = 180/ pi °. Hence , 1 radian = 57° Approx. Hence , Sin 2 will be greater than sin 1 as sin 2 = Sin 114° = Sin ( 180° - 66°) = Sin (66°). Also , Sin 3 will be less than both by using similar logic.

Sin 2 > sin 1 > sin 3 (In Radians)