Math, asked by Vedantaroxx, 1 year ago

If cosec^2a(1+cosa) (1-cosa)=x then the value of x is


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Answers

Answered by Anonymous
3
Hi dear 

we will solve the LHS and what will be the answer we got to found will be equal to x 

cosec²A(1 + cosA) ( 1 - cosA) = LHS 


= 1/sin²A ( 1 -cos²A)                             [  ∵cosec²A = 1/sin²A ] and [ using a² - b² =                                                                      (a+b) (a-b) ]

= 1/sin²A . sin²A                                    [ 1 - cos²A = sin²A .] 

= 1

value of x is 1 


Vedantaroxx: Thnx Daniel
And mystic
Answered by mysticd
3
Hi ,

***************
we know that

1 ) 1 - cos² A = sin² A

2 ) cosecA sinA = 1

********************

x = cosec² A ( 1 + cosA ) ( 1 - cosA )

= cosec² A ( 1 - cos² A )

= cosec² A sin² A

x = 1

I hope this helps you.

:)

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