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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)
  • 1 answers

Gaurav Seth 4 years, 9 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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