Question

As theta increases from -theta/2 to 0 radians, the value of cos theta will

1. decrease form 1 to 0
2. decrease from 0 to -1
3. increase from -1 to 0
4. increase from 0 to 1

Answer 1

As theta increases from
`(-theta)/(2)` to 0, the value of cos theta will increase from 0 to 1 (Option 4)

Explanation:

By trigonometric conversion,

Cos -90° = 0

Cos -60° = 0.5

Cos -30° = 0.866

Cos 0° = 1

From the above values, Cos -90° to Cos 0° = 0 to 1

As theta increases from
`(-theta)/(2)` to 0, the value of cos theta will increase from 0 to 1 (Option 4)