Trigonometry Questions from Nov 30,2024

Browse the Trigonometry Q&A Archive for Nov 30,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Use the law of sines to solve the triangle, if possible. \( \mathrm{C}=9 \mathrm{mi}, \mathrm{B}=37.83^{\circ}, \mathrm{C}=30.36^{\circ} \) Find the measure of angle A . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \mathrm{A}=111.81^{\circ} \) (Type an integer or a decimal.) B. There is no solution. (Round the length of side a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. B. There is no solution. Find the length of side b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. b= \( \square \) mi (Round to the nearest mile as needed.) B. There is no solution. Use the law of sines to solve the triangle, if possible. \[ \mathrm{c}=9 \mathrm{mi}, \mathrm{B}=37.83^{\circ}, \mathrm{C}=30.36^{\circ} \] Find the measure of angle A. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. B. There is no solution. Find the length of side a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. a \( =\square \) mi (Round to the nearest mile as needed.) B. There is no solution. Use the law of sines to solve the triangle, if possible. \( \mathrm{C}=9 \mathrm{mi}, \mathrm{B}=37.83^{\circ}, \mathrm{C}=30.36^{\circ} \) Find the measure of angle A . Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( =\square^{\circ} \) (Type an integer or a decimal.) B. There is no solution. Use the law of sines to solve the triangle, if possible. \( \mathrm{c}=9 \mathrm{mi}, \mathrm{B}=39.42^{\circ}, \mathrm{C}=32.26^{\circ} \) Find the measure of angle A. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. B. There is no solution. (Type an integer or a decimal.) \( ( \tan 1 ^ { \circ } + 1 ) ( \tan 2 ^ { \circ } + 1 ) \ldots ( \tan 44 ^ { \circ } + 1 ) \) \( ( \tan 1 ^ { \circ } + 1 ) ( \tan 2 ^ { \circ } + 1 ) \ldots ( \tan 44 ^ { \circ } + 1 ) \) \( ( \tan 1 ^ { \circ } + 1 ) ( \tan 2 ^ { \circ } + 1 ) \ldots ( \tan 44 ^ { \circ } + 1 ) \) \( A = \{ x : - \frac { 2 \pi } { 3 } < x < \frac { 2 \pi } { 3 } \wedge \cos ( 2 x - \frac { \pi } { 3 } ) = \sin ( x ) \} \) Write the equation of a sine function that has the given characteristics. Amplitude: 3 Period: \( 8 \pi \) Displacement: \( -\frac{\pi}{4} \) 15. Sketch the graph and include at least two periods for the function: \( f(x)=-2+4 \cos \left(2 x+\frac{\pi}{2}\right) \). Also, indicate the amplitude, period, vertical shift and phase shift for \( f(x) \).
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