9,261 Answered Questions for the topic trigonometry

Trigonometry

07/01/21

How many hours after midnight does the temperature first reach 81 degrees?
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 70 and 100 degrees during the day and the average daily temperature first... more
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Trigonometry Precalculus

06/30/21

Find all solutions of the equation in the interval (0, 2π). Write your answer in radians in terms of π. -5cosx=-2sin^2 x+4
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Trigonometry

06/30/21

A population of rabbits oscillates 35 above and below an average of 53 during the year, hitting the lowest value in January (t = 0).

What s the equation for the population, P, in terms of the months since January, t. P(t) = IncWhat if the lowest value of the rabbit population occurred in April instead?P(t) = Incorrect  
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Trigonometry

06/30/21

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 52 degrees occurs at 3 PM and the average temperature for the day is 45 degrees.

Find the temperature, to the nearest degree at 7 AM.
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Trigonometry

06/30/21

Find a possible formula for the trigonometric function whose values are in the following table
x 0 2 4 6 8 10 12 y 2 0 2 4 2 0 2 y=
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Trigonometry Math Calculus Precalculus

06/30/21

How would I find this, given the equation?
Given: sin𝛼 =3/8,𝜋/2 < 𝛼 < 𝜋;cos𝛽 =12/13,3𝜋2 < 𝛽 < 2𝜋How would I find? 1) sin 2𝛽 =and2) sin𝛽/2 =I drew a triange to find sin,cos,tan,etc however I don’t know what to do from there?... more
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Trigonometry

06/29/21

Right angle Trig

The roof of a particular house is 25 feet above the ground. For safety reasons, the angle that a ladder makes with the ground should be no greater than 70 degrees. What is the length of the... more
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06/27/21

Given the function f( x ) = 4x + 1 evaluate and simplify the expressions below. See special instructions on how to enter your answers.
Given the function f( x ) = 4x + 1 evaluate and simplify the expressions below. See special instructions on how to enter your answers.f (a)=____f (a+h)=___f(a+h). - f(a)/h =______Simplify answers... more
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06/27/21

List all of the fourth roots of 9/2((sqrt3)-i) from least to greatest in order of principal values
(cos + i sin ) (cos + i sin ) (cos + i sin ) (cos + i sin )
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Trigonometry Math Precalculus

06/24/21

Angle of depression question
From the top of a building a person spots two boats out on the lake. The angle of depression from the person to one of the boats is 18°, the angle of depression from the person to the other boat is... more
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Trigonometry Math Functions

06/24/21

Coastal city question

At this one coastal city, the tides vary greatly during the day. During May, the predicted height of the tides are 3.0 m at 4 AM, 11 m at 10 AM, 3.0 m at 4 PM and 11 m at 10 PM. Assume we start the... more
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Trigonometry Precalculus

06/24/21

Trigonometry question

Elli is sailing from bear creek provincial park on okanagan lake to rattlesnake island. She had planned to sail 26.0km in the direction S71°E; however, the wind and current pushed her off course.... more
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Trigonometry Precalculus

06/24/21

Trigonometry question
Elli decided to ski to a friends cabin. She skied 10km in the direction N40°E. She rested, then skied S45°E and arrived at the cabin. The cabin is 14.5km from her home, determine the distance she... more
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Trigonometry Precalculus

06/24/21

Trigonometry question

A radar operator on a ship discovers a large sunken vessel lying parallel to the ocean surface, 200m directly below the ship. The length of the vessel is a clue to which wreck has been found. The... more
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Trigonometry Precalculus

06/24/21

Trigonometry question

A surveyor in an airplane is flying towards a lake. She observes that the angles of depression to the near side of the lake and the far side of the lake are 45° and 32° respectively. At that... more
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Trigonometry Precalculus

06/24/21

Trigonometry question
A hot air balloon is flying above the mall. Elli is standing due North of the mall and can see the balloon at an angle of inclination of 64°. Helmut is due south of the mall and can see the balloon... more
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Trigonometry Precalculus

06/24/21

Trigonometry question
Helmuts angle of elevation to the top of the building is 32°. Elli is standing 105m closer to the building, directly in front of helmut. Ellis angle of elevation to the top of the building is 40°.... more
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06/22/21

.....How far from the post is the chain when it is 50cm from the ground? Write your answer correct to 2 decimal places
A chain is hanging between two posts so that its height above the ground h, in centimeters, can be determined by h = 0.0025x2 - 0.9 + 120, where x is the horizontal distance from one post in... more
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Trigonometry

06/22/21

A tree that is 3m tall casts a shadow that is 2m long. At the same time, a nearby building casts a shadow that is 25 m long. How tall is the building?
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Trigonometry Functions

06/21/21

Ferris Wheel Question
As you ride the Ferris wheel, your distance from the ground varies sinusoidally with time. Let t be the number of seconds that have elapsed since the Ferris wheel started and let d be the number of... more
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06/20/21

Calculus question related to series please help asap!
f(x) = summation from n equals 1 to infinity of the product of the quotient of the quantity n plus 1 and 4 to the n plus 1 power and x to the nth power with an interval of convergence, –4 < x... more
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Trigonometry Math Calculus Precalculus

06/20/21

How would I find the exact value of this?
cos(tan-1(-5/12)) I know I would write a triangle but I have no clue where to start. Thank you!
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Trigonometry Math Calculus Precalculus

06/19/21

How to write as an algebraic expression

We have cot(cos-1 √x2-1/x) For x > 1I drew a triangle and used the Pythagorean theorem. However, I did x2-(√x2-1)2 = b2 and I got x2-x2-1 = b2 where am I going wrong? Thank you!
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Trigonometry

06/18/21

Given triangle EFG below, If e = 37 cm, f = 49 cm, and g = 42 cm, what is the area, A, of the triangle to the nearest square centimeter. *
Given triangle EFG below, If e = 37 cm, f = 49 cm, and g = 42 cm, what is the area, A, of the triangle to the nearest square centimeter. *
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Trigonometry

06/18/21

What is the length of the hypotenuse of a 30-60-90 right triangle, if the length of the shorter leg is 5cm
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