Math, asked by shibsankar007, 1 year ago

how can I prove that sin theta minus cos theta + 1 / sin theta + cos theta minus 1 is equal to 1 + sin theta / cos theta

Answers

Answered by abhijitdebata99

1

ake Lhs

cosA-sinA+1 /cos A + sinA-1

numerator and denominator dividng by sinA

cosecA + CotA - 1 / cotA - CosecA + 1

cosecA + CotA - ( cosecA^2 - CotA^2) / cotA - CosecA + 1

cosecA + CotA - (cosecA + CotA) (cosecA - CotA) /cotA - CosecA + 1

(cosecA + CotA)( cotA - CosecA + 1 ) / cotA - cosecA +1

cosecA + CotA

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