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...
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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

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

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)

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

06/07/18

#### Points of discountuity

how do we find pointa of discountity of trignometric functions such as
tan^-1(5x)
or sec(5x)

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...
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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

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...
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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

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

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.

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.

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

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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