9,261 Answered Questions for the topic trigonometry

Trigonometry Calculus

12/05/23

Find the integral using trig substitution: x^3/sqrt(4+x^2)dx

Calculus BC
Trigonometry

12/03/23

How do I solve this?

11x^2 − 24xy + 4y^2 + 20 = 0
Trigonometry

12/03/23

How do I solve this?

7x^2 + 2(sqrt3)xy + 5y^2 = 8Use a rotation of axes to eliminate the xy-term. (Write an equation in XY-coordinates. Use a rotation angle that satisfies 0 ≤ 𝜑 ≤ 𝜋/2.)
Trigonometry

12/03/23

How do I solve this?

Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated through the indicated angle. xy = x + y, 𝜑 = 𝜋/4
Trigonometry

12/03/23

How do I answer this?

Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated through the indicated angle.x2 − 3y2 = 2, 𝜑 = 60°
Trigonometry

12/03/23

if tan(x)= -2/5 and cos(x) is positive what is tan(2x)

find using sum and difference identities
Trigonometry Math Calculus

11/30/23

Piecewise function question

Let 𝑔(𝑥) be the piecewise function defined as: [ 2/x+1 if x< -2 ] [ -4/x if -2≤x<0 ]g(x)= [ 0 if x=0 ] ... more
Trigonometry

11/30/23

The measures of two sides of a triangle and the angle opposite one of them are given. Solve all possible triangles if any. (With solution and explanation pls)

a) c = 9.04, a = 3.52, γ = 128.1°b) b = 3.562, c = 4.210, β = 50.23°
Trigonometry

11/25/23

can anyone help me answer the questions i tried 3 times but i keep getting 558

Points A and B are separated by a lake. To find the distance between them, a surveyor locates a point C on land such than ∠CAB=49.5°∠���=49.5°. Find the distance across the lake from A to B.365... more
Trigonometry

11/24/23

can anyone help my answer this question my answer was 4,080 however it was wrong

A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, 4.7 mi apart, to be 36° and 47°, as shown in the figure.4.7 mi36°47°BAWhat is the elevation of... more
Trigonometry

11/24/23

I need help trying to answer this question please

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 59 and 71 degrees during the day and the average daily temperature first... more
Trigonometry

11/24/23

Can anyone help me answer this question

The angle of elevation to the top of a Building in New York is found to be 5 degrees from the ground at a distance of 2 miles from the base of the building. Using this information, find the height... more

11/24/23

Semicircle attached to 3 triangles SAT Problem

Angle  of  is a right angle. The sides of  are the diameters of semicircles as shown. The area of the semicircle on equals , and the arc of the semicircle on  has length . What is the radius of the... more
Trigonometry

11/21/23

Use the given pair of vectors, u = 5i + 3j and w = 0i + 4j. Draw a picture of a vector u and vector w for which proju(w) = < 0, 0 >.

Use the given pair of vectors, u = 5i + 3j and w = 0i + 4j.Draw a picture of a vector u and vector w for which proju(w) = < 0, 0 >.
Trigonometry

11/21/23

) A classmate says they think of vector projections as shadows. Explain the connection between a vector and a shadow. Draw a picture if helpful.

A classmate says they think of vector projections as shadows. Explain the connection between a vector and a shadow. Draw a picture if helpful.
Trigonometry

11/21/23

Use the given pair of vectors, u = −i − 2j and v = 4i − 5j to calculate the following

Use the given pair of vectors, u = −i − 2j and v = 4i − 5j to calculate the following Are u and v orthogonal? Explain how the dot product can help you determine this. projv(u), and classify wether... more
Trigonometry

11/20/23

Solve each of the following problems with Solution

1) A flagpole is situated at the top of a building 115 ft tall. From a point in the same horizontal plane as the base of the building the angles of elevation of the top and bottom of the flagpole... more
Trigonometry

11/20/23

Solve the triangle. Express the results to two decimal places. (Show solution)

1) a = 24, α = 34°, β = 71°2) c = 53.2, β = 48.6°, γ = 61.4°3) b = 408, α = 52°42′, β = 75°36′
Trigonometry

11/19/23

Two angles of a triangle and the measure of the side opposite one of them are given. Find the measure of the side opposite the other given angle, but do not use a calculator.

a = 4.6, α = 45°, β = 60°(I only to know the solution on how to do it)
Trigonometry

11/17/23

trigonometric equation on the intervals [0,2pi).

use trigonometric, identities, algebraic, message, and inverse trigonometric functions, as necessary, just saw the following trigonometric equation on the intervals [0,2pi). round your answer to... more
Trigonometry Math

11/17/23

a sinusoidal function has amplitude 3, period pi, a maximum at (pi/4, 5) and a minimum at (3pi/4, -1).

a sinusoidal function has amplitude 3, period pi, a maximum at (pi/4, 5) and a minimum at (3pi/4, -1): a) represent a function with an equation using a sine function. ... more
Trigonometry

11/14/23

Calculate z/w, write the answer in trigonometric form.

Calculate z/w if z = 32(cos(pi) + i sin(pi)) and w = 4(cos(3pi/5) + i sin(3pi/5)) write the answer in trigonometric form. Simplify
Trigonometry

11/14/23

Calculate (√3 - i)6 using DeMoivre's theorem.

Calculate (√3 - i)6 using DeMoivre's theorem. State the answer in the rectangular form of a complex number. To make it easier to grade. write your work where indicated: Write √3 - i in... more
Trigonometry

11/14/23

Let z = 81 (cos100° + i sin100°). Find all of the 4th roots of z. Write the answers in trigonometric form

Let z = 81 (cos100° + i sin100°). Find all of the 4th roots of z. Write the answers in trigonometric form

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