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Trigonometry Questions & Answers

Q:
Convert each degree measure to radian measure. Ex- press the answer in terms of \( \pi \) and as a decimal approxi- mation rounded to the nearest hundredth. \( \begin{array}{ll}\text { 9. } 35^{\circ} & \text { 10. }-40^{\circ} \\ \begin{array}{ll}\text { 11. } 1080^{\circ} & \text { 12. } 154.5^{\circ} \\ \text { Convert each radian measure to degrees. Round an- } \\ \text { swers to the nearest tenth of a degree if necessary. } \\ \begin{array}{ll}\text { 13. } \frac{\pi}{5} & \text { 14. }-\frac{7 \pi}{2} \\ \text { 15. } \frac{\pi}{12} & 16.5\end{array}\end{array} .\end{array} \).
Q:
4. Halla los valores de las demás funciones trigonomé- tricas a partir de la función dada, con valores en el primer cuadrante. \( \begin{array}{lll}\text { a. } \tan t=\frac{3 \sqrt{3}}{2} & \text { b. } \cos t=\frac{1}{3} & \text { c. } \operatorname{cosec} t=2 \\ \text { d. } \operatorname{sen} t=\frac{1}{2} & \text { e. } \sec t=3 & \text { f. } \cot t=\frac{\sqrt{3}}{3}\end{array} \)
Q:
3. Encontrar 2 anguios positivos y dos negativos Coterminales para Cada uno de bos sigbientes angul - A. \( 50^{\circ} \quad B \cdot 260^{\circ} \quad \frac{c 7 \pi}{3} \quad d-\frac{1 \pi i}{6} \) A. A \( 50^{\circ}-360^{\circ}=-310-360=-670^{\circ} \) \( 50^{\circ}+360^{\circ}=410+360=770^{\circ} \) B \( 260^{\circ}-360=-100^{\circ}-360=-460^{\circ} \) \( 260^{\circ}+360=620+360=980^{\circ} \)
Q:
4alla los valores de las demás funciones trigonomé- tricas a partir de la función dada, con valores en el primer cuadrante. \( \begin{array}{lll}\text { a. } \tan t=\frac{3 \sqrt{3}}{2} & \text { b. } \cos t=\frac{1}{3} & \text { c. } \operatorname{cosec} t=2 \\ \text { d. } \operatorname{sen} t=\frac{1}{2} & \text { e. } \sec t=3 & \text { f. } \cot t=\frac{\sqrt{3}}{3}\end{array} \)
Q:
4alla los valores de las demás funciones trigonomé- tricas a partir de la función dada, con valores en el primer cuadrante. \( \begin{array}{lll}\text { a. } \tan t=\frac{3 \sqrt{3}}{2} & \text { b. } \cos t=\frac{1}{3} & \text { c. } \operatorname{cosec} t=2 \\ \text { d. } \operatorname{sen} t=\frac{1}{2} & \text { e. } \sec t=3 & \text { f. } \cot t=\frac{\sqrt{3}}{3}\end{array} \)
Q:
Question A boat is heading towards a lighthouse, whose beacon-light is 103 feet above the water. From point \( A \), the boat's crew measures the angle of elevation to the beacon, \( 6^{\circ} \), before they draw closer. They measure the angle of elevation a second time from point \( B \) at some later time to be 11. Find the distance from point \( A \) to point \( B \). Round your answer to the nearest tenth of a foot if necessary.
Q:
NIVEL: AVANZADO 7) En un triángulo rectángulo \( \mathrm{ABC}\left(\mathrm{m} \angle \mathrm{C}=90^{\circ}\right) \) se cumple que: \( \frac{\operatorname{Cos} \mathrm{A}}{\operatorname{CosB}}=\frac{7}{2} \). Calcular: \( \mathrm{P}=49 \sec \mathrm{~A} \cdot \cot \mathrm{~B} \)
Q:
mopp/student/3403437/23887072/782fc4b23512a429603c9... Question A boat is heading towards a lighthouse, whose beacon-light is 103 feet above the water. From point \( A \), the boat's crew measures the angle of elevation to the beacon, \( 6^{\circ} \), before they draw closer. They measure the angle of elevation a second time from point \( B \) at some later time to be \( 11^{\circ} \). Find the distance from point \( A \) to point \( B \). Round your answer to the nearest tenth of a foot if necessary.
Q:
Representa, en cada caso, el ángulo \( t \) en posición normal y encuentra el valor de las funciones trigo- nométricas seno, coseno \( y \) tangente. \( \begin{array}{lll}\text { a. } t=\frac{3 \pi}{2} & \text { b. } t=2 \pi & \text { c. } t=\frac{\pi}{2} \\ \text { d. } t=\frac{2 \pi}{3} & \text { e. } t=\frac{\pi}{6} & \text { f. } t=-\frac{\pi}{6}\end{array} \)
Q:
Rewrite \( \cos \left(x+\frac{\pi}{3}\right) \) in terms of \( \sin (x) \) and \( \cos (x) \). You answer should not have \( \frac{\pi}{3} \) in it.

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