Question

prove that (1- cos2A +sin2A )÷ (1+cos2A +sin2A) = tanA ​

Answer 1

Answer:

Step-by-step explanation:

1-cos2A+sin2A/1+cos2A+sin2A

=1-(1-2sin^2A)+2sinAcosA/1+2cos^2A-1+2cosAsinA

=1-1+2sin^2A+2sinAcosA/1-1+2cos^2A+2sinAcosA

=2sin^2A+2sinAcosA/2cos^2A+ 2sinAcosA

=2sinA(sinA+cosA)/2cosA(cosA+sinA)

=sinA/cosA

=tanA