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tyteen4a03Best ResponseYou've already chosen the best response.0
Remember that \(sin^2(x) + cos^2(x) = 1\).
 one year ago

ashwinjohn3Best ResponseYou've already chosen the best response.1
Is 3 sin^2(x2)=cos x
 one year ago

tyteen4a03Best ResponseYou've already chosen the best response.0
@ashwinjohn3 I believe it's 3sin^2(x)  2.
 one year ago

shaqadryBest ResponseYou've already chosen the best response.0
yea its 3 sin^2 (x)  2 = cos (x)
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
change sin^2 x to cos^2 x using \(\sin^2(x) + \cos^2(x) = 1\) then if you put cos^2 x = y, you'll get a quadratic in y.
 one year ago

ashwinjohn3Best ResponseYou've already chosen the best response.1
ok... then,here \[\sin ^{2} x=1\cos ^{2} x\] \[3 (1\cos ^{2}x )2=33 \cos ^{2}x 2=13\cos ^{2}x\]
 one year ago

shaqadryBest ResponseYou've already chosen the best response.0
thats what i get but then i cant figure out how to solve the angle :/
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
put cos x =y, then you get a quadratic in y..
 one year ago

ashwinjohn3Best ResponseYou've already chosen the best response.1
But \[1=\cos ^{2}x+\sin ^{2} x\] =\[\sin ^{2}x+\cos ^{2}x3\cos ^{2}x=\sin ^{2}x2\cos ^{2}x\]
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
\(3 \sin^2 x  2 = \cos x \\ 13\cos^2x = \cos x \\ 13y^2 =y. \\ 3y^2 +y1=0 \) can you solve this quadratic ?
 one year ago

shaqadryBest ResponseYou've already chosen the best response.0
yeaaa but by using calculator, the answer is in decimal point. is there any other way i can calculate the angle?
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
you'll get same answer using any other method, that you got on calculator. whatever you got, equate it to y= ..., ... so, cos x = ... , .... then take cos^{1} (or arccos) of those 2 values ("decimal values"), using calculator, and ou'll get 2 angles.
 one year ago

hartnnBest ResponseYou've already chosen the best response.0
you might be getting, 0.767 and 0.434 then 2 angles will be cos^{1}(0.767) and cos^{1}(0.434) calculate those using calculator.
 one year ago
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