Which of the following is not a possible value of sin x?
A) 2 B) -1 C) 1 D) 0.5
Trigonometric functions have a specified domain and range defined for them.
Answer: The value which is not possible for sin x is option A) 2.
We can make use of the graph of the trigonometric functions to study their range.
Option A) 2
Option B) -1
Option C) 1
Option D) 0.5
The value of sin x lies in the range between -1 to +1 on the number line. All real numbers within this range are included, while all those beyond this range are excluded. Both sin x and cos x have the same range, therefore an impossible value for a sine will also be an impossible value for the cosine.