9,261 Answered Questions for the topic trigonometry

Trigonometry

12/10/22

Solve the following trignometrical equations for 0 less than equals to x less than equals to 360 : (i) 6cos^2x+7sinx-8=0, (ii) 6 sin^2 x+5cosx-7=0, (iii) tan^2 x-5tanx+6=0,
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Trigonometry

12/10/22

Prove the following identities: (i)cos^2x (1+tan^2x)=1, (ii) (2 sin x +cos x)^2=5, (iii) (1+sin x/cos x)^2=1+sin x/1-sin x, (iv) 1- (sin^2 x)/1+cos x= cos x, (v) 1-2cos^2 x/sin x+cos x= sinx-cosx.
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Trigonometry

12/10/22

Prove the following identities: (i)cos^2x (1+tan^2x)=1, (ii) (2 sin x +cos x)^2=5, (iii) (1+sin x/cos x)^2=1+sin x/1-sin x, (iv) 1- (sin^2 x)/1+cos x= cos x, (v) 1-2cos^2 x/sin x+cos x= sinx-cosx.
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Trigonometry

12/09/22

Plot the graph of this function: Y= 2sec(X+π ) -2
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Trigonometry

12/07/22

vertices (-6,-2) and (0,-2); foci 12 units apart
Find an equation the hyperbola satisfies
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Trigonometry

12/07/22

Ferris wheel Problem
Write a sinusoidal equation that models the ride on a Ferris wheel. Assume that the rider gets on the Ferris wheel from 12ft steps. The diameter of the wheel is 100ft, and it takes 80sec for the... more
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Trigonometry Precalculus

12/07/22

Given that: cos(0)=-4/7 and 0[0,pi]; find sin(0), tan(0), cot(0), sec(0), and csc(0)
0 is delta I don't know how to put the symbol inE=∈
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Trigonometry Precalculus

12/07/22

Prove the Identity: tan(a)+tan(B)=(sin(a+B))/(cos(a)cos(B)
a=AlphaB=Beta
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Trigonometry Precalculus

12/07/22

Rewrite the complex number
Rewrite the complex number 6e2i in standard form ( a+bi ) round to four decimal places. Am I going nuts I thought Euler's had to be in radians when I solve the question on my own 6e2i = 6 [ cos(2)... more
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Trigonometry Geometry

12/06/22

Given Z is the centroif of triangle XVY, Find the following:
https://imgur.com/a/KQOY0cS
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Trigonometry Algebra 2

12/06/22

SOHCAHTOA Mountain Task 3
Timmy Tangent and Susie Sine are on opposite sides of the base on Eastern Peak Mountain Between them is their base lodge, that is directly under the peak of the mountain which is 1,208.91 meters... more
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Trigonometry Math

12/06/22

Trig Identities
I am unsure of how to verify this using trig identities...(1)/(1+sec(A))+(1)/(1-sec(A))=-2cot^(2)(A)
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Trigonometry Geometry Precalculus

12/05/22

Equilateral Triangle and Parallel Lines
Points A, B, and C lie on the parallel lines x −y√3 = 2, x −y√3 = 0, and x −y√3 = -8, respectively, and form an equilateral triangle ABC. Calculate the length of triangle ABC's side.
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Trigonometry

12/05/22

compute the following in terms of x

Assume sin⁡(θ)=x/11 where 0<θ<π/2. Compute the following in terms of x.cos⁡(2θ)= tan⁡(θ/2)= 
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Trigonometry

12/04/22

Find all solutions of the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 50 sin^2(x)=50+25cos(x)
50sin^2x=50+25cos(x)50(1-cos2x/2)=50+25cos(x)25-25cos2x=50+25cos(x)0=25cos(2x)+25cos(x)+250=50cos3x+25-25=50cos(3x)-1/2=cos(3x)I'm not sure what to do from here
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Trigonometry

12/04/22

Find all solutions of the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.) 9 cos^3(x) = 9 cos x
Find all solutions of the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)9 cos^3(x) = 9 cos x
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Trigonometry Precalculus

12/03/22

Find the length of an arc on a circle of radius 8 corresponding to an angle of 135 degrees.
Give an exact answer as a fraction, not a decimal approximation
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Trigonometry Precalculus

12/03/22

Find another angle between 0 degrees and 360 degrees that has the same cosine as 215 degrees and find an angle that has the same sine as 215 degrees
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Trigonometry Precalculus

12/03/22

Enter all solutions, in degrees, that lie in the interval [0∘,360∘). Do not enter the degree sign. If there are more than one angle, separate them by a comma. cosγ+1=2sin2γ γ =

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Trigonometry Precalculus

12/03/22

Enter all solutions, in degrees, that lie in the interval [0∘,360∘). Do not enter the degree sign. If there are more than one angle, separate them by a comma. 1−sinβ=2cos2β β =  
1−sinβ=2cos2β
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Trigonometry

12/03/22

csc(x)=cot(x)-1
csc(x)=cot(x)-1
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Trigonometry

12/02/22

what are the coordinates of the terminal point determined by t=10pi/3
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Trigonometry

12/02/22

Find the values of x between 0 and 360 degree which satisfy. (i) cos(3x-75 degree)=0.5
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Trigonometry

12/02/22

Find all the angles between 0 and 360 degree inclusive which satisfy the equation. (i) 3(sin x - cos x)=2 cos x, (ii) sin ( 2y -60 degree)=-1/2
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Trigonometry

12/02/22

Find all the angles between 0 and 360 degree which satisfy the equations. (i) cos(2x+20 degree)= -0.5
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