Whether the statement “If
Answer to Problem 1MC
The given statement is
Explanation of Solution
The given statement is “If
Suppose that
The radius r is the distance between the origin and P.
All the trigonometric functions depend on quadrant where the terminal side of the angle lies. The values of a trigonometric function can be positive, negative or zero accordingly.
That is, the sign of the function depends only on the coordinates of P on terminal side of the angle.
In first quadrant, the length of the radius is always positive. That is,
Both the coordinates are positive in first quadrant. That is,
That is, in first quadrant,
Since
That is, if
Thus, the given statement is true.
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