255 Answered Questions for the topic trigonometric identities

12/26/18

cos3x = 1- 3cosx Solve for x
what I did:cos(2x + x) = 1-3cosxused compound angle formulacos2xcosx - sin2xsinx = 1- 3cosxused double angle formulae for both cos2x and sin2x(1-2sin^2x)cosx - 2sin^2xcosx = 1-3cosxbut I'm stuck... more
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09/30/18

Prove that cos(x)tan(x) divided by cosec(x)^2 equals cos(x)^3 divided by cot(x)^3
Prove that cos(x)tan(x) / cosec(x^2) = cos(x)^3 / cot(x)^3
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09/15/18

trigonometric identities
prove that cos(90°-θ)/tan(180°+θ)=cos(360°-θ)
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08/03/18

Proof of trigonometric identity
(1-cos^2x)/tan^2x=cos^2x
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07/16/18

fiind all solutions at interval [0,2pi] sin^2x - cos^2x = 0
 find all the solutions at the interval [0,2pi] for the equation sin^2 x - cos^2 x = 0
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07/15/18

(sin x + sin 3x + sin 5x )/ (cos x + cos 3x + cos 5x) = tan 3x
how do you prove this identity (using a level maths)
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07/14/18

Suppose the θ is an acute angle and cosθ = 4/5. Using the results sin2x = 1/2*(1 - cos2x) and cos2x = 1/2*(1 + cos2x), find the exact values of cos1/2θ, sin1
Suppose the θ is an acute angle and cosθ = 4/5.    Using the results sin2x = 1/2*(1 - cos2x) and cos2x = 1/2*(1 + cos2x),   find the exact values of cos1/2θ, sin1/2θ, and tan1/2θ 
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06/27/18

The trigonometric ratio of 13pi/3 are same as that of?
pi/3, pi, pi/6 or 11pi/3??  
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06/07/18

Points of discountuity
how do we find pointa of discountity of trignometric functions such as tan^-1(5x)   or sec(5x)
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05/22/18

How to simplify trigonometric equations? (See details below)
Here is the question I'm stuck on:    The motion of point P is given by the following equations:   x(t) = -2 sin (t) cos (t)  y(t) = cos (2t)  The path traced by point p is called curve... more
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05/16/18

Verify the identity. sin quantity x plus pi divided by two = cos x
Precalculus
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05/16/18

Verify the identity. cotangent of x to the second power divided by quantity cosecant of x plus one equals quantity one minus sine of x divided by sine of x
Precalculus
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05/16/18

Verify the identity. 4 csc 2x = 2 csc2x tan x
 Precalculus  
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05/16/18

Cos theta = -4/9 with theta in quadrant 2, find sin theta
I don’t know the answer .
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05/15/18

solve and put in a trig equation
25 cos(2t)+12 sin(t+π/2)+2 cos^2(t)
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05/14/18

verify the identity cot(x-pi/2)=-tanx
 precalculus
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05/14/18

How to simplify trigonometric equations? (see details of question!)
This is the questions I'm stuck on:    Solve algebraically: f(x) = g(x) when f(x) = 4sin(2x)cos(2x)+2 and g(x)= 4sin(3x)sin(2x) + 2   1. I equated the equations          4 sin(2x)cos(2x)+2... more
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05/04/18

If y=sin 0, what is sec 0 in terms of y?
Math question 
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05/01/18

Very the identity
cos(x-y) / sin(x)sin(y) = cot(x)cot(y)+1
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04/24/18

How to find coordinates on terminal arm
The angle theta is in the first quadrant and sin of theta = 2/sqrt(13) determine the possible coordinates for point P on the terminal arm
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04/15/18

if sin of A = 5/13, in quad 1, find tan A/2 and a few others
if sin of A = 5/13, in quad 1, find tan A/2   if cos of A = -4/5, in quad 2, find sin A/2   if cos A =-4/5 in quad 2, find cos A/2   if cos A - -4/5 in quad 2 find cos 2A
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04/13/18

Solve the equation 8sin(1/2)x - 5 = 0 for 0 < x < 2pi. Round your answers to the nearest hundredth of a radian.
Solve the equation 8sin(1/2)x - 5 = 0 for 0 < x < 2pi. Round your answers to the nearest hundredth of a radian.
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04/13/18

State the amplitude and period of this function: y = -3cos(pi/3)x.
State the amplitude and period of this function: y = -3cos(pi/3)x.
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04/13/18

State the amplitude and period of this function: y = 4sin(1/2)x
 State the amplitude and period of this function: y = 4sin(1/2)x
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04/11/18

Evaluate the angles using sums as products or products as sums. (1) sin (75 degrees -15 degrees) 2) cos (65 degrees - 25 degrees)
Using either the sums as products or products as sums to work out the answer.
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