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# Question 16 of 18

beginning of content:

# M:N:MC:15

Tags:
SAT

Exam

Calculator: Not Permitted

Skill

It is given that  where x is the radian measure of an angle and

If  which of the following could be the value of w?

No

Yes

No

No

Choice B is correct. If an angle with radian measure x such that  is placed in standard position, its terminal side will fall in Quadrant II, and  will be the y-coordinate of the point P where its terminal side intersects the unit circle. If  then when the angle with radian measure w is placed in standard position, its terminal side will intersect the unit circle at a point with y-coordinate equal to There are two such points on the unit circle: the reflection of P across the x-axis, which would correspond to an angle with radian measure –x (and also with radian measures...  and the reflection of P through the origin, which would correspond to an angle with radian measure  (and also with radian measures ...  Thus, of the choices given, only  could be the value of w.

Choice A is not the correct answer. In general, and  so   Therefore,  not

Choice C is not the correct answer. In general,  so , not

Choice D is not the correct answer. In general,  so  not

Question Difficulty:
hard
Objective:

Students must be fluent with radian measure and have a conceptual understanding of trigonometric relationships.