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Home Question Bank Math Trigonometry Archive 2024 December 31

Trigonometry Questions from Dec 31,2024

Browse the Trigonometry Q&A Archive for Dec 31,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Relaciona ambas columnas \( y \) selecciona la respuesta correcta. \[ \begin{array}{ll}\text { A. } \operatorname{soc}\left(\frac{\pi}{3}\right) & \text { 1. } \sqrt{3} \\ \text { B. } \tan \left(\frac{\pi}{3}\right) & \text { 2. } \frac{1}{\sqrt{3}} \\ \text { C. } \operatorname{cose}\left(\frac{\pi}{3}\right) & \text { 3. } 2 \\ \text { D. } \cot \left(\frac{\pi}{3}\right) & \text { 4. } \frac{2}{\sqrt{3}}\end{array} \] Six Trigonometric Functions on the Unit Circle Find all six trig functions for the following radians on the unit circle. \( \begin{array}{ll}\text { 19. } t=\pi & \text { 20. } t=\frac{4 \pi}{3}\end{array} \) Reference Angles Determine the reference angles for the following degrees and radians. Remember if it starts as a negative degree or radian, you have to find the positive coterminal first. \( \begin{array}{ll}\text { 9. } 175^{\circ} & \text { 10. }-410^{\circ} \\ \text { 11. } \frac{5 \pi}{8} & \text { 12. }-\frac{7 \pi}{3}\end{array} \) 4 Find 2 coterminal angles for each: \( 115^{\circ} \quad \frac{17 \pi}{12} \) 2 Prove the following trig identity \( \csc ^{2} \theta \tan ^{2} \theta-1=\tan ^{2} \theta \) Coterminal Angles Determine TWO coterminal angles for the following degree or radian. \( \begin{array}{ll}\text { 5. } 85^{\circ} & \text { 6. } 375^{\circ} \\ \text { 7. } \frac{6 \pi}{7} & \text { 8. } \frac{10 \pi}{3}\end{array} \) Coterminal Angles Determine TWO coterminal angles for the following degree or radian. \( \begin{array}{ll}5.85^{\circ} & \text { 6. } 375^{\circ}\end{array} \) Convert the following radians to degrees. \( \begin{array}{ll}\text { 3. } \frac{\pi}{10} & \text { 4. } \frac{5 \pi}{11}\end{array} \) Degrees and Radians Conversion Convert the following degrees to radians. \( \begin{array}{ll}\text { 1. } 237^{\circ} & \text { 2. }-417^{\circ}\end{array} \) \( \left. \begin{array} { c } { 2 \sin ^ { 2 } x - \sin x - 1 = 0 } \\ { [ \pi , 4 \pi ] } \end{array} \right. \)
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