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& Download A Alternative format Page 1 of 6 O 3. Find the length of the arc of a circle of diameter 10 inches subtended
& Download A Alternative format Page 1 of 6 O 3. Find the length of the arc of a circle of diameter 10 inches subtended by a central angle of 60 and the area of the sector cut off by this angle.6. Determine if the function f(x) = 3sin2 x cos x + sec x is even, odd or neither. 7. Find the exact values of the following 7 TC a) sin 22.5 b) cos 12 c) tan 15 d) tan ( sin-1 e) sin (cos ] (- ;)) f) cos-1 (cos -) 8. Simplify. sin (cos -1 1)10. A radio tower is located 325 ft from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 43 and the angle of depression to the bottom of the tower is 31". How tall is the tower?Page 4 of 6 O 13. Verify the following identities. 1+sin x sin* (7) - cost (y) a) = 1+ 2tan x b ) = sin(y) + cos(y) cos 2 x sin (y) - cos (7) sin 20 c) (cos x)(tan x - sec(-x)) = sin x - 1 d) cote = 1-cos2014. Find all exact solutions of the following equations in the interval [0, 2It) a) tan x - 2sin x tanx = 0 b) 2 cos x + cos x - 1 = 0 c) 2sin x = -V215. Find all degree solutions in [0, 360). Approximate to the nearest degree if necessary. a) 2 cos x + sinx - 1 = 0 b) 4 cos2 x - 4 = 15 cos x 16. If A and B are second quadrant angles such that sin A = = and cos B = - -, find sin (A + B), cos (A + B) and tan (A + B) . What quadrant is angle (A + B) in? 17. If sin 0 = = and 0 is in quadrant I, find the exact values of sin(20) and cos (20), sin (?)
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