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Home Question Bank Math Trigonometry Archive 2024 December 18

Trigonometry Questions from Dec 18,2024

Browse the Trigonometry Q&A Archive for Dec 18,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Suppose that the point \( (x, y) \) is in the indicated quadrant. Decide whether the given ratio is positive or negative. Recall that \( r=\sqrt{x^{2}+y^{2}} \). III, Choose whether the given ratio is positive or negative. Nogative Positive Suppose that the point \( (x, y) \) is in the indicated quadrant. Decide whether the given ratio is positive or negative. Recall that \( r=\sqrt{x^{2}+y^{2}} \). II, \( \frac{x}{r} \) Choose whether the given ratio is positive or negative. Negative Positive Suppose that the point \( (x, y) \) is in the indicated quadrant. Decide whether the given ratio is positive or negative. Recall that \( r=\sqrt{x^{2}+y^{2}} \). II, \( \frac{x}{r} \) In Quadrant II, is \( \frac{x}{r} \) positive or negative? Positive Negative (3pts) 16. After flying at an altitude of 500 meters, a helicopter starts to descend when its ground distance from the landing pad is 11 kilometers. What is the angle of depression for this part of the flight? \( (\text { y })^{\circ} \) Calculate the following sums: (3) \( 1+\sin ^{2} 2^{\circ}+3+\sin ^{2} 4^{\circ}+5+\sin ^{2} 6^{\circ}+\ldots+85+\sin ^{2} 86^{\circ}+87+\sin ^{2} 88^{\circ} \) 2 a. Développe \( (2+\sqrt{2})^{2} \quad 0,50 \mathrm{pt} \) b. Résous dans \( ]-\pi ; \pi] \) l'équation \( (E)=2 \sqrt{2} \cos ^{2} x+(2-\sqrt{2}) \cos x-1=0 \) c. En-déduis dans \( ]-\pi ; \pi] \) les solutions del'inéquation (I) \( =2 \sqrt{2} \cos ^{2} x+(2-\sqrt{2}) \cos x-1>0 \quad 0,50 \mathrm{pt} \) 1. Find the evact value cos \( 1125^{\circ} \) Explica cómo se relacionan la cosecante y el seno, incluyendo sus dominios y rangos. 1) \( \operatorname{sen} 2 x+\operatorname{sen} x=0 \) 2) \( m \angle A=59^{\circ}, a=21, c=8 \)
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