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Home Question Bank Math Trigonometry Archive 2024 December 14

Trigonometry Questions from Dec 14,2024

Browse the Trigonometry Q&A Archive for Dec 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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47)In \( \triangle X Y Z, y^{2}+z^{2}-x^{2}=2 y z x \ldots \ldots . . . . . . . . . . \). \( \begin{array}{llll}\text { a) } \cos X & \sin Z & \text { c) } \sin C & \text { d) }-\sin C\end{array} \) If \( A(0,1), B(3,4), C(1,3) \) are the vertices 0 f a triangle, then \( \cos \) \( (<A C B)=\ldots . \). \( \begin{array}{llll}\text { a) } \frac{4}{5} & \text { b ) } \frac{-4}{5} & \text { c) } \frac{3}{5} & \text { d) } \frac{-3}{5}\end{array} \) ion \( 2 \cos \left(4 \theta+20^{\circ}\right)=0,8 \) r, \( \tan 31^{\circ} \) \( m \angle \mathrm{C}=84^{\circ}, m \angle \mathrm{~B}=23^{\circ}, c=11 \) Find \( b \). 8. \( m \angle \mathrm{~A}=30^{\circ}, m \angle \mathrm{C}=60^{\circ}, a=8 \) Find \( b \). Using the Law of Sines to solve for all possible triangles if \( \angle B=92^{\circ}, a=102, b=50 \). If no answer exists, enter DNE for all answers. \( \angle A \) is \( D N E \) \( \angle C \) is \( D N E \) \( c=\square \) Assume \( \angle A \) is opposite side \( a, \angle B \) is opposite side \( b \), and \( \angle C \) is opposite side \( c \). MATHS IN ACTION REVIEW 1. Louis is a firefighter. He regularly takes the helicopter to check for fires or to help people in difficulty. Today, he heads out from the base in a direction of \( 290^{\circ} \). Mark that heading on the diagram. In which direction is he heading (north, northeast, east, southeast, south, southwest, west, or northwest)? 8. El/los valor/res de x para el/ igualdad \( \quad 2 \cos (\boldsymbol{x})=3 \mathrm{tg} \) verdadera, considerando es/son: A. Sólo \( \frac{\pi}{6} \) B. \( \frac{\pi}{6} y \frac{5}{6} \pi \) únicamente C. \( \frac{7}{6} \pi y \frac{11}{6} \pi \) únicamente D. \( \frac{\pi}{6}, \frac{7}{6} \pi, \frac{5}{6} \pi y \frac{11}{6} \pi \) E. Ninguna respuesta anterior e Question 1 (2 points) Suppose that \( \theta=\arcsin (1 / 7) \). What is \( \sin (2 \theta) \) ? (round to 4 decimals) Your Answer: Question 1 (2 points) Suppose that \( \theta=\arcsin (1 / 7) \). What is \( \sin (2 \theta) \) ? (round to 4 decimals) Your Answer:
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