Solve sin3x + sinx/cosx + cos3x= tan2x

allhvasstH

allhvasstH

Answered question

2020-11-05

Solve sin3x+sinxcosx+cos3x=tan2x

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2020-11-06Added 100 answers

sinA+sinB=2sin(A+B2)cos(AB2),
cosA+cosB=2cos(A+B2)cos(AB2).
If A=3x and B=x, sin3x+sinx=2sin2xcosx,cos3x+cosx=2cos2xcosx.
Therefore sin3x+sinxcosx+cos3x=2sin2xcosx2cos2xcosx=tan2x

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?