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Hogar Banco de preguntas Matemáticas Trigonometría Archive 2024 December 03

Trigonometry Questions from Dec 03,2024

Browse the Trigonometry Q&A Archive for Dec 03,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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2. Indique la suma de las dos primeras soluciones positivas. \[ \tan x=1 \] \( \begin{array}{ll}-- & \text { Question } 9 \text { (1 point) } \\ 6 & \text { The value of } \sec 77^{\circ} \text { is... } \\ 6 & \end{array} \) Ecuaciones trigonométricas 1. Indique la suma de las dos primeras soluciones positivas. \[ \operatorname{sen} x=\frac{1}{2} \] Question 10 (Mandatory) (1 point) \( \triangle P Q R \) has a right angle at \( Q \). If \( q=26 \mathrm{~cm} \) and \( p=10 \mathrm{~cm} \), which of the following is the correct set of reciprocal trigonometric ratios for \( \angle R \) ? A) \( \csc R=\frac{12}{13}, \sec R=\frac{5}{13} \), \( \cot R=\frac{12}{5} \) B) \( \csc R=\frac{13}{5}, \sec R=\frac{13}{12} \), C) \( R=\frac{5}{12} \) \( \csc R=\frac{13}{12}, \sec R=\frac{13}{5} \), \( \cot R=\frac{12}{5} \) The point \( (3,-5) \) is on the terminal arm of \( \angle D \). Which is the set of exact primary trigonometric ratios for the angle? A) \( \sin D=-\frac{5}{\sqrt{34}}, \cos D=\frac{3}{\sqrt{34}} \), \( \sin D=-\frac{5}{\sqrt{34}}, \cos D=-\frac{3}{\sqrt{34}} \), \( \tan D=-\frac{5}{3} \) C) \( D=-\frac{3}{\sqrt{34}}, \cos D=\frac{5}{\sqrt{34}} \), \( \sin D=-\frac{5}{3} \) D) \( D=-\frac{\sqrt{34}}{6}, \cos D=\frac{\sqrt{34}}{2} \), \( \frac { \sin 4 x - \cos ^ { 4 } x } { \sin ^ { 2 } x - \cos ^ { 2 } x } \) \( y = \operatorname { arc } \cdot \operatorname { tang } \frac { a x } { 1 - \operatorname { ax } } \) A ship is sailing due north. At a certain point, the bearing of a lighthouse 6.5 km away is \( \mathrm{N} 38.9^{\circ} \mathrm{E} \). Later on, the captain notices that the bearing of the lighthouse has become \( \mathrm{S} 30.4^{\circ} \mathrm{E} \). How far did the ship travel between the two observations of the lighthouse? The ship travelled \( \square \mathrm{km} \) between the two observations. (Do not round until the final answer. Then round to the nearest tenth as needed.) Write the first trigonometric function in terms of the second for \( \theta \) in the given quadrant. \[ \csc (\theta), \cot (\theta) ; \text { Quadrant IV } \] A communications satellite is directly above the extension of a line between receiving towers \( A \) and B. It is determined from radio signals that the angle of elevation from tower \( A \) is \( 88.9^{\circ} \) and the angle of elevation from tower \( B \) is \( 86.6^{\circ} \). If \( A \) and \( B \) are 659 km apart, how far is the satellite from \( A \) ?
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