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Trigonometry Questions & Answers

Q:
Which of the following is the equivalent of \( 45^{\circ} \) in radians? (1 point) \( 0 \frac{\pi}{3} \) \( 0 \frac{\pi}{4} \)
Q:
Convert 252 degrees to radians. ( 1 point) \( \frac{6 \pi}{5} \) radians \( \frac{5 \pi}{4} \) radians \( \frac{8 \pi}{3} \) radians \( \frac{7 \pi}{5} \) radians
Q:
Approximately how many radian lengths are needed to trace around the circumference of a circle? (1 point) approximately 8 approximately 3 approximately 6 approximately 2
Q:
Given that \( \cos \theta=-\frac{\sqrt{3}}{2} \), find the coordinates of the point where the terminal side of \( \theta \) intersects the unit circle, if \( \theta \) is an obtuse angle. (1 point) \( \left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right) \) \( \left(\frac{1}{2},-\frac{\sqrt{3}}{2}\right) \) \( \left(-\frac{\sqrt{3}}{2}, \frac{1}{\sqrt{2}}\right) \) \( \left(-\frac{\sqrt{3}}{2},-\frac{1}{2}\right) \)
Q:
A ray on the positive \( x \)-axis is rotated \( 900^{\circ} \). What is the cosine of the angle formed by this rotation? (1 point) \( \frac{1}{2} \) -1
Q:
If \( \sin P=\frac{5}{13} \), what are the coordinates of the point at the intersection of the unit circle and the terminal ray forming \( \angle P \) with the \( x \)-axis? (1 point) \( \left(\frac{12}{13}, \frac{-5}{13}\right) \) \( \left(\frac{5}{13}, \frac{12}{13}\right) \) \( \left(\frac{5}{13}, \frac{-12}{13}\right) \) \( \left(\frac{12}{13}, \frac{5}{13}\right) \)
Q:
\( y : \sin ^ { 6 } A + \cos ^ { 6 } A = 1 - 3 \sin ^ { 2 } A \cos ^ { 2 } A ( 2 \)
Q:
Which of the following stat a. \( \frac{\operatorname{cosec} A}{\sin A}=\cos A \) b. \( \frac{\cos A}{\sin A}=\sec A \) c. \( \frac{\sin A}{\cos e A}=\cot A \) d. \( \frac{\sin A}{\cos A}=\tan A \)
Q:
Solve each triangle \( A B C \) that exists. \[ B=141.8^{\circ}, c=8.019, b=15.102 \] Select the correct choice below and, if necessary, fill in the answer boxes with in the choice.
Q:
Solve each triangle \( A B C \) that exists. \( B=141.8^{\circ}, c=8.019, b=15.102 \) Select the correct choice below and, if necessary, fill in the answer boxes with in the choice.

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