Trigonometry

All new and solved questions in Trigonometry category

2 answers
Find the angle of elevation of the sun when a tower 100m high casts a shadow of 120 meter long
Find the angle of elevation of the sun when a tower 100m high casts a shadow of 120 meter long?...
2 answers
A batter hits a ball with an initial velocity v0 of 100 feet per second at an angle theta to the horizontal
A batter hits a ball with an initial velocity v0 of 100 feet per second at an angle theta to the horizontal. An outfielder catches the ball 200 feet from home plate. Find theta if the range of a projectile is given by the formula R=1/32v0 squared times sin 2 theta. Note: the zero by the v is suppose...
1 answer
NEED HELP SOLVING IT
A building casting a shadow of 27 ft long at 3:15 am. The angle from the horizon to the center of the sun is determined to be 35.00o, how tall is thebuilding?...
no answer
Find the exact value of 6 trig functions if "theta" given: point (-4,-6) on the terminal side of the angle in standard position
Find the exact value of 6 trig functions if "theta" given: point (-4,-6) on the terminal side of the angle in standard position....
1 answer
Basic Trigonometry Question
If the flagpole that a golfer aims at on a green measures 5 feet from the ground to the top of the flag and a golfer measures a 1 degree angle from top to bottomof the pole, how far (in horizontal distance) is the golfer from the flag? Round to the nearest foot....
no answer
Distance word problem
An airplane, flying at an altitude of 6 miles, is on a flight path that passes directly over an observer. If θ is the angle of elevation from the observer to theplane, find the distance d from the observer to the plane when (a) θ = 30 degrees, (b) θ = 90 degrees, and (c) θ = ...
no answer
TRIG HELP
A weight attached to a spring is pulled down 3 inches below the equilibrium position. Assuming that the period of the system is 1/2 second, determine atrigonometric model that gives the position of the weight at time t seconds....
1 answer
Ancher Shoot
an ancher shoots an arrow into a target 53 m north of his position. what do you call the magnitude of the arrows displaccement? how large is that magnitude?...
no answer
The radius of a wheel rolling on the ground is 80 centimeters
The radius of a wheel rolling on the ground is 80 centimeters...
1 answer
Angle of least positive measure (not equal to the given measure) coterminal with angle 58...
angle of least positive measure (not equal to the given measure) coterminal with angle 58 degrees 40'...
no answer
Changing amplitude
A population of rabbits oscillates 14% above and below average during the year, hitting the lowest value in January (t = 0). The average population starts at 800rabbits and increases by 180 each year. Find an equation for the population, P, in terms of the months since January, t....
no answer
Trigonometry
If amplitude is 3 and period is 4p, what is the sine function?...
2 answers
Trigonomery double angle formular
1). Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the angle.π/127 sin(π/12) =9 cos(π/12) =3 tan(π/12) =2).Consider the following formulas.a sin(Bθ) + b cos(Bθ) = √a2 + b2 sin(Bθ + C), where C = arctan(b/a) and a >...
2 answers
While standing at the left corner of the schoolyard in front of her school, Suzie estimates that the front face is 8.9m wide and 4.7m high
while standing at the left corner of the schoolyard in front of her school, Suzie estimates that the front face is 8.9m wide and 4.7m high. from her position, Suzie is 12m from the base of the right exterior wall. she determines that the left and right exterior walls appearto ne 39 degrees apart. Fr...
1 answer
There is a clown's face on the top of a spinner. The tip of his hat rotates to #(-2, 5)# during one spin. What is the cosine value of this function?
There is a clown's face on the top of a spinner. The tip of his hat rotates to #(-2, 5)# during one spin. What is the cosine value of this function?...
1 answer
How would you rewrite sin(x-pi/3)?
How would you rewrite sin(x-pi/3)?...
1 answer
Prove that #cos((2pi)/9)*cos((4pi)/9)*cos((8pi)/9)=-1/8#?
Prove that #cos((2pi)/9)*cos((4pi)/9)*cos((8pi)/9)=-1/8#?...
1 answer
What are the solutions to 10(sec^2)x+5(tan^2)x-15=0 over the interval (0,2pi)?
What are the solutions to 10(sec^2)x+5(tan^2)x-15=0 over the interval (0,2pi)?...
1 answer
How do I solve #2 csc (z+pi/4)=5# for #0<=z<=6# radians?
How do I solve #2 csc (z+pi/4)=5# for #0<=z<=6# radians?...
1 answer
How do you find the x-intercepts of #1/2 x - sin(x) = 0#?
How do you find the x-intercepts of #1/2 x - sin(x) = 0#?...