Math, asked by gourinamdeo2004, 10 months ago

prove that:
sin²theta+ cos⁴theta= cos²theta +sin⁴theta​

Answers

Answered by raju35652
1

Step-by-step explanation:

follow the above steps

Attachments:
Answered by adi4847
1

Answer:

Cos^2theta + Sin^4theta

Step-by-step explanation:

Sin^2theta + cos^4theta

=1-cos^2theta + (cos^2theta)^2

=1-cos^2theta + (1-sin^2theta)^2

=1-cos^2theta + 1-2sin^2theta + sin^4theta

=1-cos^2theta +1-2(1-cos^2theta)+sin^4theta

=2-cos^2theta-2-2cos^2theta+sin^4theta

=sin^4theta+cos^2theta

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