cos A - sin A +1
(v
)
cosec A + cot A,
cos A + sin A - 1
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Step-by-step explanation:
cosA-sinA+1/cosA+sinA-1=cosecA+cotA
prove that LHS=RHS
LHS=COSA-SINA+1/COSA+SINA-1
BOTH NUMERATOR AND DEMONERATOR DIVIDED BY SINA
=COSA/SINA-SINA/SINA+1/SINA/COSA/SINA+SINA/SINA-1/SINA
=COSA/SINA-1+COSECA/COSA/SINA+1-COSECA
=COTA-1+COSECA/COTA+1-COSECA
=COTA-COSECA -(COT^2A-COSEC^2A)/COTA+1-COSECA
=COTA+COSECA (1-COSECA+COTA)/COTA+1-COSECA
=COSECA-COTA
HENCE,PROVED LHS=RHS
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