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Trigonometry
Find all solutions in the interval [0, 2π): 2cos^2(2θ)-1=0
a. π/4, 3π/4, 5π/4, 7π/4
b. π/8, 3π/8, 5π/8, 7π/8, 9π/8, 11π/8, 13π/8, 15π/8
c. π/8, π/4, 3π/8, 3π/4
d. π/2, π/4, 3π/2, 3π/4, 5π/2, 5π/4, 7π/2, 7π/4
d. none of these
a. π/4, 3π/4, 5π/4, 7π/4
b. π/8, 3π/8, 5π/8, 7π/8, 9π/8, 11π/8, 13π/8, 15π/8
c. π/8, π/4, 3π/8, 3π/4
d. π/2, π/4, 3π/2, 3π/4, 5π/2, 5π/4, 7π/2, 7π/4
d. none of these
Trigonometry
a golfer hits her ball a distance of 127 m so that it finishes 31 m from the hole, calculate the angle between the line of her shot and direct line to the shot
Trigonometry
Given tanu=-1/3 and sin〖u<0,〗 find sin(u/2). (Assume 0≤u<2π.)
-√((10+3√10)/20) b. √((10-3√10)/20) c. √((10+3√10)/20)
d. -√((10-3√10)/20) e. None of these
-√((10+3√10)/20) b. √((10-3√10)/20) c. √((10+3√10)/20)
d. -√((10-3√10)/20) e. None of these
Trigonometry
Given tanθ=3/4 and sin〖θ)]<0, find tan2θ.
a. 1/3 b. √5/3 c. 5/9 d. 24/7 e. None of these
a. 1/3 b. √5/3 c. 5/9 d. 24/7 e. None of these
Trigonometry
Simplify: cos(5π+x)
a. cosx b.〖 sin〗x c. -sinx d. -cosx e. None of these
a. cosx b.〖 sin〗x c. -sinx d. -cosx e. None of these
Trigonometry
For what values of x, 0≤x<2π is it true that cscx=√(cot^2x+1)?
a. 0<x<π b. π<x<2π c. π/2≤x≤3π/2
d. 0≤x<π/2, π<x<3π/2 e. None of these
a. 0<x<π b. π<x<2π c. π/2≤x≤3π/2
d. 0≤x<π/2, π<x<3π/2 e. None of these
Trigonometry
Solve the right triangle given a = 9 and b = 12.
Solve the right triangle given b = 5 and c = 7.
Solve the right triangle given a = 8 and A = 50◦
Solve the right triangle given c = 5.6 and B = 17◦
Solve the right triangle given a = 3 and B = 10◦
Solve the right triangle given b = 5 and c = 7.
Solve the right triangle given a = 8 and A = 50◦
Solve the right triangle given c = 5.6 and B = 17◦
Solve the right triangle given a = 3 and B = 10◦
Trigonometry
Find the length of the chord of a circle of radius 100 feet subtended by an angle of 75◦ ?
Trigonometry
Sketch the graph of y=x^2 cos(x). (Hint: (2π)^2≈39.5)
Trigonometry
Sketch the graph of y=-2x+3sin2x. Be sure to state the two equations the graph oscillates between.
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#339914 on Dec 2023
#339914 on Dec 2023