Question

find the value of root 1 - sin theta / root 1 + Sin theta ​

Answer 1

Answer:

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Step-by-step explanation:

Enough to show that

1−sinθ

1+sinθ

=(secθ−tanθ)

2

(secθ−tanθ)

2

=sec

2

θ+tan

2

θ−2secθtanθ

=

cos

2

θ

1

+

cos

2

θ

sin

2

θ

−2

cosθ

1

cosθ

sinθ

=

cos

2

θ

1+sin

2

θ−2sinθ

=

1−sin

2

θ

(1+sinθ)

2

=

(1+sinθ)(1−sinθ)

(1+sin

2

θ)

2

=

1−sinθ

1+sinθ

.

Answer 2

Answer:

$\sec( \alpha ) - \tan( \alpha )$

Step-by-step explanation:

see answer in this picture