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Popular Trigonometry >

prove cos(6x)=2cos^2(3x)-1

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Solution

prove cos(6x)=2cos2(3x)−1

Solution

True
Solution steps
cos(6x)=2cos2(3x)−1
Manipulating right side2cos2(3x)−1
Rewrite using trig identities
2cos2(3x)−1
Use the Double Angle identity: 2cos2(x)−1=cos(2x)=cos(2⋅3x)
Simplify=cos(6x)
=cos(6x)
We showed that the two sides could take the same form⇒True

Popular Examples

prove tan^2(x)-tan^2(x)sin^2(x)=sin^2(x)prove csc(2x)=(csc(x))/(2cos(x))prove (1-tan(x))/(1+tan(x))=(1-sin(2x))/(cos(2x))prove csch^2(x)=coth^2(x)-1prove (tan(y))/(csc(y))= 1/(cos(y))-1/(sec(y))

Frequently Asked Questions (FAQ)

  • Is cos(6x)=2cos^2(3x)-1 ?

    The answer to whether cos(6x)=2cos^2(3x)-1 is True
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