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Example Questions
Example Question #1 : How To Find Positive Sine
If
, what is ? Round to the nearest hundredth.
Possible Answers:
Correct answer:
Explanation:
Recall that the sine wave is symmetrical with respect to the origin. Therefore, for any value
, the value for is . Therefore, if is , then for , it will be .Example Question #1 : How To Find Positive Sine
In a right triangle, cos(A) =
. What is sin(A)?
Possible Answers:
Correct answer:
Explanation:
In a right triangle, for sides a and b, with c being the hypotenuse,
. Thus if cos(A) is , then c = 14, and the side adjacent to A is 11. Therefore, the side opposite of angle A is the square root of , which is Since sin is , sin(A) is .Example Question #2985 : Act Math
What is the value of
?
Possible Answers:
Correct answer:
Explanation:
As with all trigonometry problems, begin by considering how you could rearrange the question. They often have hidden easy ways out. So begin by noticing:
Now, you can treat
like it is any standard denominator. Therefore:
Combine your fractions and get:
Now, from our trig identities, we know that
, so we can say:
Now, for our triangle, the
is . Therefore,
Example Question #1 : How To Find Positive Sine
Solve for
:if
Possible Answers:
Correct answer:
Explanation:
Recall that the standard
triangle, in radians, looks like:Since
, you can tell that .Therefore, you can say that
must equal :
Solving for
, you get:
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