Grade 12th PassTrigonometry
maximum and minimum values ofsin4theta+cos4theta are:
maximum and minimum values ofsin4theta+cos4theta are:
2 Answers
Shailendra Kumar Sharma
maximum and minimum values of this sin4theta+cos4theta is be found.
f(theta) = sin4theta+cos4theta+
f(theta) = sin4theta+cos4theta+
= sin4theta+cos4theta+2sin2thetacos2theta -2sin2thetacos2theta
=(sin2theta+cos2theta)- 2sin2thetacos2theta
=1-{2sin2thetacos2theta}*(2*2)
=1-(1/2)(Sin2theta)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
thus maximum value of this function f(theta) will be 1 and mimimum wil be 1/2
Pratiyush
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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