## next step for solving (2sin^(2)x-1) = 0

Trigonometric ratios and functions, the unit circle, inverse trig functions, identities, trig graphs, etc.
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Joined: Thu Apr 26, 2012 2:18 am
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### next step for solving (2sin^(2)x-1) = 0

I have a simple trig equation that is:

(2sin^(2)x-1)=0

and this is what i did
2sin^(2)x-1 = 0
2sin^(2)x = 1
sin^(2)x = 0.5

how would you continue? would you square both sides or is there a different way to do it because of the trig?

maggiemagnet
Posts: 358
Joined: Mon Dec 08, 2008 12:32 am
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### Re: next step for solving (2sin^(2)x-1) = 0

I have a simple trig equation that is:

(2sin^(2)x-1)=0

and this is what i did
2sin^(2)x-1 = 0
2sin^(2)x = 1
sin^(2)x = 0.5

how would you continue? would you square both sides or is there a different way to do it because of the trig?
Since the sine is already squared, I don't think you'd want to square again. Maybe you could take the square root? (Remember to do the "+/-" in front of the root!)