Question

prove that-
(cot A - cosec A)^2 = 1-cosA/1+cosA

Answer 1

Hey !!!

from LHS

=>( CotA - cosecA )²

=>(cosA/sinA - 1/sinA)²

=>( cosA - 1 /sinA )²

•°• sin²x = 1 - cos²x

=>( cosA - 1 )² / sin²A

=> (cosA - 1 ) (cosA - 1 ) / ( 1 - cos²A)

=> (cosA - 1 ) ( cosA - 1 ) / ( 1 - cosA ) ( 1 + cosA)

=> cosA - 1 / 1 + cosA RHS prooved ..

Question is lil wrong bro . check it out ✔
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Hope it helps you !!!

@Rajukumar111

Answer 2

(cosec A - cot A)² = 1-cos a / 1 + cos a


( 1/sin A - CosA/SinA)² = ( 1 - Cos/SinA)²



= ( 1 - cos A)²/ Sin²A = (1-cos A )( 1- Cos A)/(1-cis²a)



= ( 1 - cos A )( 1-CisA)/(1+Cos A)( 1-CosA)

= ( 1 - cosA)/(1+cosA) = rhs



hope it helps

mark as brainliest please