anonymous
  • anonymous
sin^2 theta - cos^2 theta = -1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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ParthKohli
  • ParthKohli
\[-\left(\cos^2 \theta - \sin^2 \theta\right) = -1\]\[\implies -\cos(2\theta) = -1\]\[\implies \cos(2\theta) = 1\]Or use either of the two identities:\[\cos^2 \theta = 1 - \sin^2 \theta\]\[\sin^2 \theta = 1- \cos^2 \theta\]
myininaya
  • myininaya
or ... ANOTHER WAY! \[\sin^2(\theta)-\cos^2(\theta)=-1 \] Recall \[\sin^2(\theta)+\cos^2(\theta)=1\] So add \[\cos^2(\theta)\] on both sides to use the identity that is being recalled \[\sin^2(\theta)+\cos^2(\theta)-\cos^2(\theta)=-1+\cos^2(\theta) \] Now use the identity \[1-\cos^2(\theta)=-1+\cos^2(\theta)\] \[2=2\cos^2(\theta)\] \[1=\cos^2(\theta) \] which results into two equations
ParthKohli
  • ParthKohli
Just add those two equations to get \(2\sin^2 \theta = 0\).

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myininaya
  • myininaya
oh yeah that is pretty too
mathslover
  • mathslover
This problem can be done in several ways. I was going to write some of them here, but I guess, they will all be actually similar to each other. But @myininaya and @ParthKohli have done well to find 2 of them.
myininaya
  • myininaya
3 of them actually
myininaya
  • myininaya
parth did one way at first then he found another way off what i was doing
ParthKohli
  • ParthKohli
why are you typing like satellite does

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