SOLUTION: True or false: There are angles for which sin(3x) = 3. I know that the "x" is in terms of radian measure, and so the output is in terms of radians, but can sin(3x) be equal to 3?

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Question 1110176: True or false: There are angles for which sin(3x) = 3.
I know that the "x" is in terms of radian measure, and so the output is in terms of radians, but can sin(3x) be equal to 3?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
The range for sine function is from negative 1 to positive 1.

x, or 3x, or 10x, or x/2, or whatever as any input for the sine function; no matter. The range for sine function is still from negative 1 to positive 1.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
No. Suppose I say that

This is impossible because the sine function
varies from -1 to +1
--------------------------------------------
Also, the sine function is a ratio, call it
. Whatever units you may assign
to and , they cancel out in the ratio,
so it's just a number