1-costheta/1+costheta=(cosectheta-cottheta)^2
prove it
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2
Step-by-step explanation:
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Answered by
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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.
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