9,261 Answered Questions for the topic trigonometry

Trigonometry Math

08/26/23

Use De Moivre's theorem to find all of the solutions to the equation x^3-1=0.

In the solution to this question:1 = z = r^3(cos(3θ)+isin(3θ)) Then this implies that r=1 (or r= -1, but we can incorporate the latter case into our choice of angle). We then reduce the equation.I... more
Trigonometry

08/16/23

I need help solving this word problem?

Two planes take off at the same time from an airport. the first plane is flying at 296 miles per hour on a course of 160 degrees. The second plane is flying in the direction of 135 degrees at 249... more
Trigonometry Precalculus

07/28/23

Find an equation for the population

 A population of mice is at its lowest in January (t=0) and oscillates 17 above and below an average of 93 during the year.Find an equation for the population, P, in terms of the months since... more
Trigonometry Precalculus

07/28/23

Determine the amplitude

Determine the amplitude of the following function:y=3/5cos⁡(−7x)
Trigonometry Precalculus

07/28/23

Write the function in terms of x.

Sounds are how we perceive pressure waves in the air. The note F-sharp, more than an octave below the note 'middle C', is a sound wave with an ordinary frequency* f=105.6 Hertz or cycles/sec. Model... more
Trigonometry Precalculus

07/28/23

How would I graph the function of sin(3/5x)?

Trigonometry

07/28/23

if tan(t)=3/4 and 0<t<Pi/2 what are sin(t), cos(t), sec(t), cot(t)

Having trouble figuring this one out..
Trigonometry

07/26/23

Finding the height of the antenna

A guy wire that is 639.4 meters long is anchored 53.5 meters from the base of an antenna. Determine the angle the wire makes with the ground and calculate the height of the antenna.  Round answers... more
Trigonometry

07/19/23

There are values of t so that sin t = .3 and cos t = -.6.

Is it true or false
Trigonometry

07/19/23

Tangent Ø Question

Given Cosine Ø=8/9. If 0 is an angle in Quadrant IV, what is the value of Tangent Ø?
Trigonometry

07/19/23

Can anyone help explain/show how to solve this? Half angle trig identity

Solve the following equation using half angle identities, given that x is in the interval [0, 360]. Choose all values that apply. Your answers should be expressed in degrees, to the nearest... more
Trigonometry

07/16/23

How high is the window from the ground, and how tall is the tower?

A water tower is located 349 feet from a building. From a window in the building, an observer notes that the angle of elevation to the top of the tower is 41° and that the angle of depression to... more
Trigonometry

07/10/23

How do you solve this vector word problem?

An airplane ends up 540 miles and 20 degrees north of east from its departure point. If there was a steady wind of 30 mph from the northwest during the entire flight, then find the magnitude and... more
Trigonometry

07/06/23

Answer to question

A Ferris wheel is 45 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel... more
Trigonometry Algebra 2

06/30/23

What is a algebraic proof that the period for sine function is 2π/b?

Trigonometry

06/22/23

The distance h a body will move in a free fall is expressed by the formula h= 1/2 gt2. If g=980 cm per sec2 and t=20 sec, the distance h is

The distance h a body will move in a free fall is expressed by the formula h= 1/2 gt2. If g=980 cm per sec2 and t=20 sec, the distance h is
Trigonometry

06/21/23

Trigonometry question

If tan θ= λtan(A–θ), show that (λ–1) sinA = (λ+1) sin(2θ–A).
Trigonometry

06/20/23

trigonometry graphing

Write a cosine function that has a midline of y=2,y=2, an amplitude of 4 and a period of \frac{5\pi}{7}​.
Trigonometry

06/18/23

trigonometry question

how to solve questions like cox5x + cox3x = cosx for x
Trigonometry

06/16/23

the sum of 4 times a number and 9 equal 6

Trigonometry

06/10/23

Two LORAN radio stations A and B are 140 kilometers apart and send a simultaneous radio signal to a ship.

The signal from B arrives 0.0002 seconds before the signal from A. If the signal travels 300,000 kilometers per second, find the equation of the hyperbola on which the ship is positioned. Use a... more
Trigonometry Precalculus

06/08/23

Equation Involving Trigonometric Identities

Solve this equation for 0 ≤ θ < 2π:tanθsinθ - 4tanθ = -3tanθ
Trigonometry

06/05/23

how to solve problem

Use the Rational Zero Theorem to list possible rational zeros for the polynomial function. (Enter your answers as a comma-separated list.)P(x) = x3 + 3x^​2 - 6x - 8

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