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If 8cotA=7,evaluate (1+sinA)(1-sinA)/(1+cosA)(1-cosA)

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If 8cotA=7,evaluate (1+sinA)(1-sinA)/(1+cosA)(1-cosA)

Posted by Harsha Shreya 4 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 4 years, 11 months ago

Given:

We have to find, the value of is:

Solution:

∴

Using the algebraic identity:

(a + b)(a - b) =

Using the trigonometric identity:

+ = 1

⇒ = 1 - and = 1 -

Using the trigonometric identity:

Put = , we get

∴ =

Thus, the value of is "equal to ".

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