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Prove that: 2sinpi/6s e cpi/3-4sin(5pi)/...

Prove that: `2sinpi/6s e cpi/3-4sin(5pi)/6cospi/4=1`

Text Solution

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`L.H.S = 3sin(pi/6)sec(pi/3)-4sin(5pi/6)cot(pi/4)`
`=3(1/2)(2)-4sin(pi-(pi/6))(1)`
As we know, `sin(pi -x) = sinx`
Our equation becomes,
`=3(1/2)(2)-4sin(pi/6)(1)`
`=3-4(1/2) = 1 = R.H.S.`
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