Question

If cot theta = 5/9, then find (1 + cos theta) (1 - cos theta) upon (1 - sin theta) (1 + sin theta)

Answer 1

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Answer 2

Answer:

Answer

1+sinθ

1−sinθ

=

(1+sinθ)(1−sinθ)

(1−sinθ)(1−sinθ)

=

1−sin

2

θ

(1−sinθ)

2

=

cos

2

θ

(1−sinθ)

2

=

cosθ

1−sinθ

=

cosθ

1

−

cosθ

sinθ

=secθ−tanθ

Hence, the answer is secθ−tanθ.