1.

Prove that : ​

Answer»

Step-by-step EXPLANATION:

Maths

Prove that:

tanθ−secθ+1

secθ+tanθ−1

=

1−sinθ

cosθ

PUT 1=sec

2

θ−tan

2

θ=(secθ−tanθ)(secθ+tanθ)

tanθ−secθ+1

secθ+tanθ−(secθ−tanθ)(secθ+tanθ)

(1−secθ+tanθ)

secθ+tanθ(1−secθ+tanθ)

⟹secθ+tanθ

Put secθ=

cosθ

1

and tanθ=

cosθ

sinθ

cosθ

1

+

cosθ

sinθ

MULTIPLY and DIVIDE by 1−sinθ

cosθ(1−sinθ)

1−sin

2

θ

1−sinθ

cosθ



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