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Trignometry

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20 Jan 2012 12:06:51 IST

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please solve it

Mathematics

If tan x + sin x =m & m2 - n2 = 4?mn then prove that tan x - sin x = n.

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kshitijaditya sharma

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Joined: 29 May 2011

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22 Jan 2012 15:52:53 IST

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given, tanx + sinx =m

lets start from the eqn. to be proved,

tanx +sinx=n lets name this eq.n as (1)

multipying the 2 eqn.s

tanx^2 - sinx^2 = mn

n= {[tanx + sinx][tanx - sinx]} / m

n= [tanx + sinx]*[tanx-sinx] / [tanx + sinx] from (1)

HENCE n = tanx - sinx

AND THATS ALL WE HAD TO PROVE

kshitijaditya sharma

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Joined: 29 May 2011

Posts: 17

22 Jan 2012 15:55:59 IST

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SORRY THERE ARE SOME ERRORS,

(1) is tanx + sinx = m

second eqn is tanx - sinx = n

sorry for the mistakes, else the proof is totally fine

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