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Math Question?
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- Homework Help >
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- Algebra thru Precalc... >
- trig identities >
Question:
Answer(s):
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Aya99 5 months ago
Rating:
Helpful
Answer Details
1) To prove the first identity, it is easier to startfrom the right hand side.
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2) For this one, you should start from the right hand sidetoo.
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&nb...
1) To prove the first identity, it is easier to startfrom the right hand side.
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2) For this one, you should start from the right hand sidetoo.
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3) We will start from the left hand side on this one.
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pete2007 5 months ago
Rating:
Helpful
Answer Details
if you want the prove use sin2x+cos2x= 13/sin2x -sin2x cos2x =sin2x(1-cos2x)=sin2x(1-(1-sin2x) =sin2x ( 1-1 +sin2x) = sin2xsin2x= sin4x
2/ cosx cos2x -sinx sin2x =cos(1-sin2x ) - sinx (1-cos2x) = cosx - cosx sin2x - sinx...if you want the prove use sin2x+cos2x= 13/sin2x -sin2x cos2x =sin2x(1-cos2x)=sin2x(1-(1-sin2x) =sin2x ( 1-1 +sin2x) = sin2xsin2x= sin4x
2/ cosx cos2x -sinx sin2x =cos(1-sin2x ) - sinx (1-cos2x) = cosx - cosx sin2x - sinx +sinxcos2x rearagecosx -sinx +sinx cos2x +cos x sin2x= cosx - sinx + sinx cox (cox - sinx) = (cosx-sinx )(1+sinxcosx)1/ subs 1 = sin2x+cox2x you will getsinx cosx /(sin2x+cox2x)-2cos2x
= sinx cox / (sin2x-cox2x) nowdivide by sinx cox you will get1/ sin2x-cox2x/(sinx cox) = 1/ ( sinx /cox - cox/sinx) = 1 / (tanx- cotx )-
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