9,266 Answered Questions for the topic trigonometry

Trigonometry

05/16/25

Trigonometry : Solve the following problem
Solve 2sinx= -1/2 for x ∈ [0,4π]
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Trigonometry

05/15/25

How can you display vertical asymptotes for secant and cosecant functions on Desmos?
Say you have the following function:f(x) = csc(x + π/6) + 2.I understand how to sketch its graph, but if you use Desmos to graph this function (along with sin(x + π/6) + 2, how do you display the... more
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Trigonometry

05/15/25

Parametric Equations|Please help!
What is the solution to the given problem?3( 1/2 - y ) = 3/5 + 15y
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Trigonometry

05/15/25

Trigonometry|Please help!
Solve 2sin x = -1 over [0, 2pi]Anyone that is able to guide me through the steps of this problem would be much appreciated!
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Expert Answers •5
Trigonometry

04/06/25

Find ALL solutions of the interval [0, 2π)

Find ALL solutions of the interval [0, 2π)cos x/2 = - √3/2If there are solutions that will not fit, please explain.Thank you!
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Trigonometry

04/06/25

Find ALL solutions of the interval [0, 2π) tan 2x = √3/3
Find ALL solutions of the interval [0, 2π)tan 2x = √3/3If there are some potential solutions that won't fit, please say the reason.Thank you
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Trigonometry

04/06/25

Find ALL solutions of the interval [0, 2pi)
Find ALL solutions of the interval [0, 2π)cos 2x = √3/2If there are some potential answers that won't fit, please say the reason. Thank you
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Trigonometry

04/06/25

Use trigonometric identities to solve each equation in the interval [0, 2π). cos 2 x - sin 2 x = 1
Use trigonometric identities to solve each equation in the interval [0, 2π).cos 2 x - sin 2 x = 1
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Trigonometry

04/06/25

Use trigonometric identities to solve each equation in the interval [0, 2π). sin x = cos x
Use trigonometric identities to solve each equation in the interval [0, 2π).sin x = cos xIf there are some answers that will not work, please say why.
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Trigonometry

04/06/25

6 sin2 Θ - 11 sin Θ = -4
Find all solutions of each equation in the interval [0,2π).6 sin2 Θ - 11 sin Θ = -4Please say why some solutions will work and some will not.Thank you!
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Trigonometry

04/06/25

Find all solutions of each equation in the interval [0,2π). 2 cos2Θ + 3 cos Θ = 2
Find all solutions of each equation in the interval [0,2π). 2 cos2Θ + 3 cos Θ = 2Please say why some solutions will work and some will not.Thank you!
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Trigonometry

04/06/25

Find all solutions of each equation in the interval [0,2pi) (sinx+1)(tanx-1)=0
Find all solutions of each equation in the interval [0,2π) (sinx+1)(tanx-1)=0why is 3π/2 not part of the final solution set?
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Trigonometry

04/05/25

Find ALL solutions...sin (x + pi/4) = 1/2
Find ALL solutions in the interval [0,2π).Please advise.Thank you! sin (x + π/4) = 1/2 √3 tan ( x - π/6) - 1 = 0
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Trigonometry

04/05/25

Tan (theta - 30 degrees) = -5 ...say what?!
Find all solutions of each equation in the interval [0º, 360º). Round to the nearest tenth of a degree.tan (Θ - 30º) = -5Please show all steps and how this relates to the unit circle.
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Trigonometry Geometry

03/19/25

Trigonometry bearing problem finding a side length
Two fire-spotting towers, A and B, are 33 km apart on an east-west line. From Tower A, a fire is spotted at a bearing of N 63° E, while from Tower B, the same fire is spotted at a bearing of 290°.... more
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Trigonometry Math

03/17/25

explain why irrational cosine values added and multiplied equal a rational number
why does[cos(2π/7)+cos(π/7)]*[cos(2π/7)-1]*[cos(12π/7)+cos(π/7)]=-(7/8)hint;cos(7x)=64cos7x-112cos5x+56cos3x-7cosx
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Trigonometry

03/16/25

Vectors|Please help!
"Vector u has a magnitude of 15 and a direction of 0°. Vector v has a magnitude of 18 and a direction of 70°. Find the magnitude and direction of the resultant to the nearest whole number."For this... more
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Trigonometry

03/11/25

Find the amplitude, period, or phase shift of the given function
Find the amplitude of y = -4 cos (x + π/4)Find the period of y = 4 cos [5x + 5π/2]Find the period of y = 5 sin [1/2 (x - π/2)]Find the phase shift of y = -5 cos [6 (x + π/6)]
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Trigonometry

03/11/25

reference angle to find the exact value of the expression
Use reference angle to find the exact value of the expression. Show your work. sin (-300°) cos 1200°
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Trigonometry

03/11/25

Find the exact values of the remaining trigonometric functions
Find the exact values of the remaining trigonometric functions of θ from the given information.tan θ = - 5/12, θ in quadrant IIcot θ = - 12/5, θ in quadrant IV
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Trigonometry

02/21/25

Graphing Cosine Functions|Please help!
Sketch the graph of the given function:y = 3 cos pi/2 (x + 2) + 2For this function, I know that my a = 3, my b = pi/2, my period is 4, my midline is 2, and that my phase shift is 2 to the left, but... more
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Trigonometry

02/20/25

Graphing Sine Functions|Please help!
Sketch the graph of the given function:y = 2 sin 1/2 (x - pi/4) + 1I know that my amplitude is 2, my B-value is 1/2, my period is 4pi, my phase shift is pi/4 to the right, and that my vertical... more
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Trigonometry Algebra 2 Precalculus

02/19/25

How can quadratic functions be used to model projectile motion?
Consider the following example below:A soccer player kicks a ball into the air from a height of 2 meters with an initial vertical velocity of 15 m/s. The height of the ball after t seconds is given... more
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Trigonometry Math Linear Algebra

02/18/25

Write the complex number z=(-1-√3i)^19 in polar form: z=r(cosθ+isinθ) where r =? and θ=? The angle should satisfy 0≤θ<2π
As the title states. I went through this problem myself and got r = 524288 and θ = 2π/3 , but that was not correct.
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Trigonometry Math

02/16/25

Find the Exact values of the trigonometric functions of Θ from given info
A few different types, for me they are extremely difficult to relate one to the other in a sense of using the same type of method to solve. I got a few correct but then started to miss some, so I... more
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