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Evaluate: sin⁡[cos^(-1)⁡((-2)/7) ]

a. √53/7 b. (-√53)/7 c. (3√5)/7 d. (-3√5)/7 e. None of these
Arc cosx + arc cosy + arc cosz = π and if; x+y+z=3/2 then show that x=y=z
A ship leaves a port P and sails for 12km on a bearing 068. it then sails a further 20km on bearing of 106 to reach Q. what is the distance between P & Q. what is the bearing of Q from P.
A 12ft ramp rests against the edge of the floor at the back door of a truck. To make it stable 2.5 ft, of the ramp extends beyond the edge of the floor, which is 3.5 ft above the level ground. Find the cosine and tangent That makes with the ground?
If 270°<m°<360°, and √3sin m° + cos m° = 2sin2011°. then m=?
Sin^8g/a^3+cos^8y/b^3=1/(a+b)^3
How many solutions does the equation sin(x) sin(2x) sin(3x)...sin(11x) sin(12x) = 0
have in the interval (0,π ] ?

Find the exact values of the trigonometric functions of a/2 and 2a by using half-angle and double angle formulas.



1) sin(a) = 4/5, and a in quadrant 1


From the top of a cliff 126 meters high, the angle of depression of a boat is 20.7 degrees. Hwo far is the boat from the foot of the cliff?
An airplane takes off at a speed S of 235235 mph at an angle of 1616degrees° with the horizontal. Resolve the vector S into components.
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