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Home Question Bank Math Trigonometry 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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Use reference angles to find the exact value of the following expression. \[ \begin{array}{l}\cot 210^{\circ} \\ \text { A. } \cot 210^{\circ}= \\ \text { (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or frad } \\ \text { the denominator.) }\end{array} \] Use a reference angle to find the exact value of the following expression. Do not use a calculator. \( \sin \left(120^{\circ}\right) \) Select the correct choice below and, if necessary. Fill in the answer box to complete your choice. A. \( \sin \left(120^{\circ}\right)=\square \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Rationalize all denominators ) B. The undefined. Find the reference angle for the angle \( -\frac{33 \pi}{4} \) The reference angle is Type your answer in radians. Txpe an integer or a simplified fraction.) Find the exact value of \( \cos 345^{\circ} \). Find the reforence angle for the angle \( \frac{19 \pi}{3} \) The reforence angie is (Type you answer in radians. Type an integer or a simplifiod fraction.) Find the exact value of \( \tan 75^{\circ} \). \&. Find the reference angle for the angle \( 865^{\circ} \) The reterence angle is \( \square^{\circ} \) \( \sin ^{5} \theta+\cos ^{6} \theta=\frac{1}{4}\left(1+3 \cos ^{2} 2 \theta\right) \) (b) \( \cos 4 \theta=1-8 \sin ^{2} \theta+8 \sin ^{4} \theta \) LHS \( =\sin ^{6} \theta+\cos ^{6} \theta \) 11. ¿A qué distancia de la base de un faro de \( 8 \sqrt{3} \), encuentra un barco cuando éste se observa desd superior del faro con un ángulo de depresión sen \( x-\sqrt{3} \cos x=0 \) ? \( \begin{array}{llll}\text { A) } 8.2 \text { metros } & \text { B) } 8 \text { metros } & \text { C) } 4 \sqrt{3} & \text { D) } 8 \sqrt{3}\end{array} \) Find the reference angle of the angle. \( -110^{\circ} \) The reference angle for \( -110^{\circ} \) is
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