Verify the identity sinx/(1-cosx)=(1+cosx)/sinx.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We need to verify that sinx/(1-xosx)= (1+cosx)/sinx

We know that sin^2(x) + cos^2(x)=1

==> sin^2(x)= 1-cos^2(x)

==> sin^2(x)= (1-cos(x))(1+cos(x))

==> (sinx)(sinx)= (1-cosx)(1+cosx)

Now divide by (sinx)(1-cosx)

==> sinx/(1-cosx)=(1+cosx)/sinx)

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial