Math, asked by itscutecandy1305, 18 days ago

prove that (1+tan theta+sec theta)(1+ tan theta- sec theta) = 2

Answers

Answered by ruhisinghlife40

0

Answer:

L.H.S =

secθ−1

tanθ

+

secθ+1

tanθ

=

(secθ−1)(secθ+1)

tanθ[secθ+1+secθ−1]

=

sec

2

θ−1

2tanθ.secθ

=

tan

2

θ

2tanθ.secθ

=

tanθ

2secθ

=

cosθ

sinθ

2

cosθ

1

=

sinθ

2

=2 cosecθ

= R.H.S

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