cos a /1-sin a = 1+tan a/2 / 1-tan a/2
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Answered by
9
Answer:
Step-by-step explanation:
We know that CosA = 1 - Tan²A/2 / 1 + Tan²A/2
SinA = 2TanA/2 / 1 + Tan²A/2
CosA / 1 - SinA = [1 - Tan²A/2 / 1 + Tan²A/2] / 1 - [2TanA/2 / 1 + Tan²A/2]
= [1 - Tan²A/2 / 1 + Tan²A/2] / [1 + Tan²A/2 - 2TanA/2/1 + Tan²A/2]
= 1 - Tan²A/2 / 1 + Tan²A/2 - 2TanA/2
= 1 - Tan²A/2 / (1 - TanA/2)²
= (1 + TanA/2)(1 - TanA/2) / (1 - TanA/2)²
= 1 + TanA/2 / 1 - TanA/2.
Hence Proved.
Answered by
0
Answer:
cos a /1-sin a = 1+tan a/2 / 1-tan a/2
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