Continuing from where Sir left,
4sin2z=3cos2x
4*78=3cos2x
cos2x=76>1
How is this possible ?
If sinx=cosy,√6siny=tanz,2sinz=√3cosx ; u,v,w denote respectively sin2x,sin2y,sin2z,then value of triplet (u,v,w) is ?
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7 Answers
Welcome back! We have not forgotten you either.
So we still insist you show some working before we post our replies
Why such double behaviour with me ??I am still in 11th class,so please have some mercy on me
\\1=sin^2x+cos^2x=cos^2y+4/3 sin^2z = 1- sin^2y+4/3 sin^2z \\1= 1- tan^2z/6+4/3 sin^2z \\hence, tan^2z=8sin^2z \\cos^2z=1/8 \\sin^2z=7/8
Now finish it off .. [1]
Write the equations as
\cos^2 x = \sin^2 y...............1
6 \sin^2 y = \tan^2 z.................2 and
3 \cos^2 x = 4 \sin^2 z..............3
From 1 and 2,
6 \cos^2 x = \tan^2 z................4
Dividing 3 by 4, we get \cos^2 z = \frac{1}{8}
but of course, cos2x = 7/6 is a mistake. Have you copied the problem correctly? In any case this is the way to go about it