Math, asked by sagarghadigaonkar200, 4 months ago

Show that
sin^4a-cos^4a=1-2 cos^2a​

Answers

Answered by harshalkale
2

Answer:

refer below !!

Step-by-step explanation:

Consider LHS:

sin⁴a-cos⁴a=(sin²a+cos²a)(sin²-cos²a)

= -(cos²a-sin²a)

= -(2cos²a-1)

=1-2cos²a

Remember I have used trigonometry identities like

  • sin²a+cos²a=1
  • cos²a-sin²a=2cos²a-1

Hope this helps !!

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