17exerciseset5 - ◦ ≤ x< 360 ◦ 5 Simplify and...

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MATHEMATICS 17 Exercise Set 5 1. Find the exact value of the following. (a) Arc sec 4 5 (b) Arc sin sin 15 π 7 (c) cot π - Arc tan 2 2 !! (d) sin 3 π 2 + 1 2 Arc cos 7 8 (e) cos Arc tan - 12 5 + Arc csc 5 4 2. How many triangles can be formed given the following conditions, where α is the angle opposite the side with measure a and h is the altitude to side c of the triangle: (a) α = 45 , h = 32, a = 9 (b) α = 150 , h = 2 2, a = 3 2 3. Find the measure of the remaining 2 angles and 1 side of a triangle with α = 30 , a = 2, and b = 2. 4. Find the solution set of: (a) cos - 1 ( 3 x + 7 ) - 2 sin - 1 1 2 = sec - 1 2 (b) Arc cos 2 x + Arc sin 2 x = π 2 (c) 2 sin 3 x = 2 sin x - 2 sin x cos x , 0 x < 2 π (d) cot 4 x - csc 2 x = 5, 180
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Unformatted text preview: ◦ ≤ x < 360 ◦ 5. Simplify and express in polar form: (-3 ) ³ √ 2cis22.5 ◦ ´ 6 ³ 3 √ 3-3 i ´ 6. Find the solutions of the equation z 5 =-2 √ 3 + 2 i . 7. On a class outing, the 2 buses of the U2 and Q2 math 17 class were separated. The U2 bus traveled in the direction N 17.5 ◦ E with a constant speed of 40 mph, while the Q2 bus traveled in the direction S 77.5 ◦ W in a uniform rate. If the distance between them after 1 and a half hours is 30 √ 7 miles, what is the speed of the Q2 bus?...
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