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Home Question Bank Math Trigonometry Archive 2024 December 01

Trigonometry Questions from Dec 01,2024

Browse the Trigonometry Q&A Archive for Dec 01,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( 2\cos ^{2}x=3\sin x.en(0.2\pi ) \) A roadway rises 5 ft for every 18 ft along the road. What is the angle of inclination of the roadway? The angle of inclination of the roadway is \( \square^{\circ} \). (Round to one decimal place as needed.) A roadway rises 3 ft for every 11 ft along the road. What is the angle of inclination of the roadway? The angle of inclination of the roadway is \( \square^{\circ} \). (Round to one decimal place as needed.) A roadway rises 4 ft for every 14 ft along the road. What is the angle of inclination of the roadway? The angle of inclination of the roadway is \( \square^{\circ} \). (Round to one decimal place as needed.) A roadway rises 5 ft for every 20 ft along the road. What is the angle of inclination of the roadway? The angle of inclination of the roadway is \( \square^{\circ} \). (Round to one decimal place as needed.) The shadow cast by a building is 55 ft long when the angle of inclination of the sun is \( 35^{\circ} \). How tall is the building? The building is \( \square \mathrm{ft} \) tall. (Round to the nearest hundredth as needed.) The shadow cast by a building is 81 ft long when the angle of inclination of the sun is \( 31^{\circ} \). How tall is the building? The building is \( \square \mathrm{ft} \) tall. (Round to the nearest hundredth as needed.) a) \( \operatorname{sen}^{2} x+\operatorname{sen} x \cdot \cos x=0 \) Which of the following are parametric equations for the entire unit circle? Choose all that apply. \( \begin{aligned} \square x(t) & =t, y(t)=\sqrt{1-t^{2}} \\ \square x(t) & =2 \cos (t), y(t)=2 \sin (t) \\ \square x(t) & =\cos (t), y(t)=\sin (t) \\ \square x(t) & =\cos (3 t), y(t)=\sin (3 t) \\ \square x(t) & =\sin (t), y(t)=\cos (t) \\ \square x(t) & =\cos (t), y(t)=\sin (2 t) \\ \square x(t) & =\csc (t), y(t)=\cot (t)\end{aligned} \) 8. Determine os valores de \( x \) do intervalo \( ]-180^{\circ}, 180^{\circ}[ \) que săo soluçőes das seguintes equaçőes: \( \begin{array}{ll}\text { a) } \operatorname{sen}^{2} x+\operatorname{sen} x \cdot \cos x=0 & \text { b) } \operatorname{tg}^{2}\left(\frac{x}{3}\right)=\sqrt{3} \operatorname{tg}\left(\frac{x}{3}\right)\end{array} \)
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