Topic
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.
Q:
Solve each triangle \( A B C \) that exists.
\[ B=159.9^{\circ}, c=6.894, b=14.311 \]
Select the correct choice below and, if necessary, fill in the answer boxes with in the choice.
Q:
I. Trigonometric and typertolic function
Evaluate the ff function
\( \begin{array}{ll}\text { 1) } \sin (0.423 i) & \text { 6) } \tan (0.732 i) \\ \text { 2) } \sin (0.32+0.43 i) & \text { 7) } \operatorname{coth}(\sqrt{25 i}) \\ \text { 3) } \tan \left(\frac{\pi}{3}\right) & \text { 8) } \cosh (0.52+.25 i) \\ \text { 4) } \operatorname{csch}(0.25+0.52 i) & \text { 9) } \sinh (10.56 i) \\ \text { 5) } \cos (3.21-1.23 i) & \text { 10) } \operatorname{csch}(0.2+30 i)\end{array} \)
Q:
26.3. Розв'яжіть рівняння:
1) \( \sin x-\cos x=0 \)
2) \( \sqrt{3} \sin x+\cos x=0 \)
3) \( \sin \frac{x}{3}+5 \cos \frac{x}{3}=0 \)
4) \( \sin ^{2} x-5 \sin x \cos x+4 \cos ^{2} x=0 \)
5) \( \sin ^{2} \frac{x}{2}-3 \sin \frac{x}{2} \cos \frac{x}{2}+2 \cos ^{2} \frac{x}{2}=0 \)
6) \( 3 \sin ^{2} x-2 \sqrt{3} \sin x \cos x+\cos ^{2} x=0 \)
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