What is the measure of angle X? Enter your answer as a decimal in the box. (Units are degrees - please only enter numbers in the
box.) Round only your final answer to the nearest hundredth.
2 answers:
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Answer:
Step-by-step explanation:
Recall the formula for the sine of the double angle:
we know that , and that
is in the interval between 0 and 90 degrees, where both the functions sine and cosine are non-negative numbers. Based on such, we can find using the Pythagorean trigonometric property that relates sine and cosine of the same angle, what
is:
With this information, we can now complete the value of the sine of the double angle requested: