Math, asked by kanakjoshi, 8 months ago

(cos⁴A - sin⁴A) is equal to​

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Answered by Anonymous
2

Answer:

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Answered by Anonymous
3

 { \cos }^{4}  \alpha  -  { \sin }^{4} \alpha  \\  \\  =  >  { ({ \cos }^{2}  \alpha )}^{2}   -  {( { \sin}^{2} \alpha ) }^{2}  \\  \\  =  > ( { \cos}^{2}  \alpha  +  { \sin  }^{2}  \alpha )( { \cos }^{2}  \alpha  -  { \sin}^{2}  \alpha ) \\  \\  =  > 1 \times  \cos2 \alpha  \\  \\  =  >  \cos2 \alpha

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