Question

prove that (sinA / 1+cos A+1+cosA /sinA)( sinA/ 1-cosA- 1-cos A/ sinA)= 4cosec×cotA​

Answer 1

Answer:

Step-by-step explanation:Hey !!!

Here is ur solution ;-

from LHS

sinA/1 + cosA

multiplying by (1 - cosA) on numerator and denominator

sinA ___(1 - cosA)

----------×

1+cosA_(1-cosA)

sinA - sinA×cosA

-----------------------

1² - cos²A

sinA - sinA×cosA

------------------------

sin²A

sin(1-cosA)

---------------

sin²A

1 - cosA

------------

sinA

=> 1/sinA -cosA/sinA

=> cosecA - cotA RHS prooved

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Hope it helps you !!