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Trigonometry> maximum and minimum values ofsin 4 theta+...

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maximum and minimum values ofsin⁴theta+cos⁴theta are:

ASh , 8 Years ago

Grade 12th Pass

2 Answers

Shailendra Kumar Sharma

Last Activity: 8 Years ago

maximum and minimum values of this sin⁴theta+cos⁴theta is be found.
f(theta) = sin⁴theta+cos⁴theta+

= sin⁴theta+cos⁴theta+2sin²thetacos²theta -2sin²thetacos²theta

=(sin²theta+cos²theta)- 2sin²thetacos²theta

=1-{2sin²thetacos²theta}*(2*2)
=1-(1/2)(Sin2theta)²

Now the maximum value of (sin2A)^2 will be 1 ad mimimum value will be
thus maximum value of this function f(theta) will be 1 and mimimum wil be 1/2

Pratiyush

Last Activity: 5 Years ago

The minimum and maximum values of of sin 4 theta +cos 4 theta is is 1 ,1/2........

I this very helpful to you all I hope you getting your answer.

Please give me b.a. Upvote

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