Advertisements
Advertisements
प्रश्न
Prove the following identities:
`sin theta/((cot theta + "cosec" theta)) - sin theta/((cot theta - "cosec" theta)) = 2`
सिद्धांत
Advertisements
उत्तर
LHS = `sin theta/((cot theta + cosec theta))- sin theta/(( cot theta - cosec theta))`
= `sin theta { ((cot theta - cosec theta )-( cot theta + cosec theta ))/(( cot theta + cosec theta ) ( cot theta - cosec theta ))}`
= `sin theta { (-2 cosec theta)/(-1)} (∵ cosec^2 theta - cot^2 theta =1)`
= `sin theta . 2 cosec theta`
= `sin theta xx2xx1/ sin theta`
= 2
= RHS
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
