Consider the sine of any angle between 30 $\degree$and 40 $\degree$.If the angle were doubled,what would happen to the sine of the angle?
A)It would double.
B)It would more than double.
C)It would increase but be less than double.
D)In different cases,it could do any of the above.

Question

Quizplus · Accepted Answer

The sine function is not linear, which means that doubling the angle will not simply double the sine value. However, the sine function is increasing on the interval between 0 and 90 degrees, so doubling the angle will result in an increase in the sine value. However, this increase will be less than double, because the sine function becomes less steep as the angle increases.Therefore, the correct answer is C.

Consider the Sine of Any Angle Between 30 °\degree° And 40 °\degree°

Consider the Sine of Any Angle Between 30 $\degree$ And 40 $\degree$