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Home Question Bank Math Trigonometry Archive 2025 January 19

Trigonometry Questions from Jan 19,2025

Browse the Trigonometry Q&A Archive for Jan 19,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Solve the right triangle ABC , with \( \mathrm{C}=90^{\circ} \). \( \mathrm{A}=59.5^{\circ}, \mathrm{c}=21.2 \mathrm{ft} \) \( \mathrm{B}=\square^{\circ} \) (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) \( \mathrm{a}=\square_{\mathrm{ft}} \) (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) \( \mathrm{b}=\square \mathrm{ft} \) (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) Utilize a identidade de soma para produtos: \( \sin(x) + \sin(y) \) em termos de produtos. 3) If \( \mathrm{A}=20^{\circ} \) and \( \mathrm{B}=30^{\circ} \) determine the value of the following correct to 1 decimal place: a) \( 2 \sin B \) e) \( \cos \left(90^{\circ}-B\right) \) b) \( \frac{\sqrt{3}}{2} \cos B \) f) \( 2 \sin \left(2,5^{*}+A\right) \cos \left(2,5^{*}+A\right) \) e) \( \cos (A+2 B) \) g) \( \cos ^{2}(A)+\sin ^{2}(A) \) d) \( \sin \left(90^{\circ}-B\right) \) h) \( \left\{\cos ^{2}(B)-\sin ^{2}(B)\right. \) Solntions 10 bivaces 1 umber 3 are on phye 293 d) \( \frac{3}{5} \operatorname{cotg} \frac{5 \pi}{3}-\frac{6}{7} \operatorname{cotg} \frac{7 \pi}{6}-\frac{2}{3} \operatorname{sen} \frac{3 \pi}{2}+\frac{4}{5} \cos \frac{5 \pi}{4} \) \( \operatorname{sen} \frac{\pi}{3}+\cos \frac{\pi}{4}-\operatorname{tg} \frac{2 \pi}{3}+\operatorname{cotg} \frac{7 \pi}{6} \) \( \frac{3}{5} \operatorname{cotg} \frac{5 \pi}{3}-\frac{6}{7} \operatorname{cotg} \frac{7 \pi}{6}-\frac{2}{3} \operatorname{sen} \frac{3 \pi}{2}+\frac{4}{5} \cos \frac{5 \pi}{4} \) ocalize os arcos no ciclo trigonométrico e coloque em ordem
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