Question

1-costheta/1+costheta=(cosectheta-cottheta)^2

prove it
make it fast pls​

Answer 1

Step-by-step explanation:

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Answer 2

Theta is written as A.

Answer:

(1-cosA)/(1+cosA) = (cosecA-cotA)²

Step-by-step explanation:

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

Multiply as well as divide by 1 - cosA;

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

= > ( 1 - cosA )² / ( 1² - cos²A )

= > ( 1 - cosA )² / ( 1 - cos²A )

= > ( 1 - cosA )² / sin²A { 1 - cos²A = sin²A}

= > [ ( 1 - cosA ) / sinA ]²

= > ( 1/sinA - cosA/sinA )²

= > ( cosec²A - cotA )²

Hence proved.