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if tan tita plus sin tita=m tan tita - sin tita=n show that m sq-n sq=4root mn

Posted by Jinendar Khivsara 6 years, 11 months ago

CBSE > Class 10 > Mathematics

1 answers

D.J Alok 6 years, 11 months ago

L.h.s Msq - Nsq = (tanA+sinA)sq -(tanA-sinA)sq =4tanAsinA. R.h.s 4√mn =4√(tanA+sinA)(tanA-sinA) =4√tanAsq - sinAsq =4√sinAsq/cosAsq - sinAsq =4√(sinAsq-sinAsq×cosAsq)/cosA =4sinA/cosA√1-cosAsq =4tanA√sinAsq =4tanAsinA =L.h.s (proved)

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