Solution

prove

Solution

Solution steps
Manipulating left side
Rewrite using trig identities
Use the Angle Difference identity:
Simplify
Simplify
Use the following trivial identity:
periodicity table with cycle:
Apply rule
Simplify
Use the following trivial identity:
periodicity table with cycle:
Multiply:
We showed that the two sides could take the same form

Popular Examples

prove sin((7pi)/6+x)-cos((2pi)/3+x)=0prove tan(u)(csc(u)-sin(u))=cos(u)prove 1-2sin^2(x)+sin^4(x)=cos^4(x)prove (sin(3θ))/(sin(θ))=3-4sin^2(θ)prove tan(pi-θ)=tan(θ)

Frequently Asked Questions (FAQ)

  • Is cos(90-x)=sin(x) ?

    The answer to whether cos(90-x)=sin(x) is True