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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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Pruebe que \( \cos \left(\operatorname{sen}^{-1} x\right)=\sqrt{1-x^{2}} \) iv) \( \quad \tan ^{+1} \sqrt{x}=\frac{1}{2} \cos ^{-1}\left(\frac{1-x}{1+x}\right) \) 7. A pipa de Joaquim ficou presa em uma árvore. A linha da pipa ficou esticada, formando com 0 chão um ângulo de medida de abertura de \( 45^{\circ} \). O comprimento da linha da pipa mede \( 8,5 \mathrm{~m} \). Determine a medida da altura da pipa em relação ao solo. (Utilize: \( \sqrt{2}=1,4 \) ). 5) A Ferris Wheel with a radius of 14 m makes one revolution every 30 seconds. The bottom of the wheel is 2.5 m above the ground. a) Draw a graph to show how a person's height above the ground varies with time during 2 revolutions starting at the lowest point. b) Model the graph drawn in part (a) with a function. c) How does the equation change if the graph starts at the centre of rotation. 9. Nilai \( \frac{\sin 60^{\circ}-\tan 30^{\circ}}{\cos 45^{\circ}} \) adalah Diketahui sudut \( \alpha=\frac{1}{4} \) putaran dan sudut \( \beta=240^{\circ} \). Hasil penjumlahan kedua sudut tersebut adalah . . . rad. Question An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of \( 66^{\circ} \) with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary. (b) \( \frac{\sin ^{3} x+\sin x \cdot \cos ^{2} x}{\cos x}=\tan x \) (d) \( 1-\frac{\cos ^{2} x}{1+\sin x}=\sin x \) (f) \( \frac{1}{(\cos x+1)(\cos x-1)}=\frac{-1}{\tan ^{2} x \cdot \cos ^{2} x} \) (h) \( \left(\tan y+\frac{1}{\tan y}\right)\left(1-\cos ^{2} y\right)=\tan y \) An electrician leans an extension ladder against the outside wall of a house so that it reach electric box 20 feet up. The ladder makes an angle of \( 77^{\circ} \) with the ground. Find the length ladder. Round your answer to the nearest hundredth of a foot if necessary. 1) Transformar el ángulo de grados a rad: Irigonometría \( \begin{array}{llll}\text { a) } 150 & \text { b) } 35^{\circ} & \text { e) } 80^{\circ} & \text { d) } 150^{\circ} \\ \text { e) } 90^{\circ} & \text { f) } 60^{\circ} & \text { g) } 200^{\circ} & \text { h) } 30^{\circ}\end{array} \)
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