Question

1+sectheta/sec theta=sin²theta/1-cos²theta PROVE THE IDENTITY​

Answer 1

Answer:

Hi Mate..

Step-by-step explanation:

To prove : 1+secø/secø=sin^2ø/1-cosø

Proof: L.H.S=1+secø/secø

=1+1/cosø/1/cosø

=cosø+1/cosø/1/cosø

=cosø+1

Multiplying both sides by 1-cosø

=(1+cosø)(1-cosø)/1-cosø

=1-cos^2ø/1-cosø

=sin^2/1-cosø

Hence Proved .

Hope it will help Uhhh ....

Answer 2

Answer:

To prove: 1+secø/secø=sin^2ø/1-cosø

Proof: L.H.S=1+secø/secø =1+1/cosø/1/cosø =cosø+1/cosø/1/cosø =cosø+1

          Multiplying both sides by 1-cosø

          =(1+cosø)(1-cosø)/1-cosø =1-cos^2ø/1-cosø =sin^2/1-cosø

Hence Proved .

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