Act Math Practice

Trigonometry Answer 3

Trigonometry Answer 3:

3. If x represents a real number, what is the greatest possible value of 4 sin 2x?

A. 2

B. 3

C. 4

D. 6

E. 12

The correct answer is C.

REMEMBER: The greatest possible value of sin x is 1.

Therefore, sin 2x must be less than or equal to 1.

This concept is represented by the following formula:

sin 2x ≤ 1

Now, multiply each side of the equation by 4 in order to get 4 sin 2x, like in the problem for question 3:

sin 2x ≤ 1

4 ´ sin2x ≤ 1 ´ 4

4 sin2x ≤ 4

So the greatest possible value is 4.

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