Question

15. Over what range of angles does the value of sin(O) consistently increase?

A. 45° to 135°
B. 90° to 180°
C. 0° to 180°
D. 0° to 90°

Answer 1

D. 0° to 90°

Explanation:

If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/
`√(2)`

sin 60 =
`√(3) /2`

sin 90 = 1

Thus, we see that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 =
`√(3) /2`

sin 135 = 1/
`√(2)`

sin 150 = 1/2

sin 180 = 0

Thus, we see that value of sin is decreasing from 90 to 180.