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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find gen soln.
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yash_gryffindor (609)

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sin x + cos x  =


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ankurgupta91 (828)

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divide the equation by 2
sinx /2 + sqrt3 /2 cosx = 1/sqrt2

cos (x -30) = cos 45
x - pi/6 = 2npi +- pi /4

x= 2npi +- 5pi/12

thats the answer.......

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allamraju (3422)

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(rt3/2)cosx+(1/2)sinx=1/rt2

cos(x-pi/6)=1/rt2=cos(pi/4)

x-pi/6=2npipi/4

x=2npi+5pi/12 (or) x=2npi-pi/12.

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spideyunlimited (3914)

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Multiply and divide by 2
(1/2)*sinx + (rt3/2)cosx = 1/rt 2
sin(x+ pi/3) = 1/rt2 = sin (pi/4)
x + pi/3 = n.pi + (-1)^n (pi/4)
x = n.pi + (-1)^n. (pi/4) - pi/3


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