Math, asked by priyanka89621, 1 year ago

minimum value of 4tan²∅+3cos²∅

Answers

Answered by swatidas05

Let a= 4tan^2 theta
And let b= 9cot^2theta
Then, according to AM-GM inequality
STEP 1:(4tan^2 theta+9cot^2theta)/2≥√(4tan^2theta×9tan^2theta)
STEP 2:(4tan^2theta+9cot^2theta)/2≥2×3×tan theta×cot theta
4tan^2theta+9cot^2theta≥12
Hence, the minimum value is 12

Hope it will help you.

Please mark it as a BRAINLIEST one.
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priyanka89621: thnxx

priyanka89621: sec theta + tan theta =3 what is the value of sin3 theta

priyanka89621: plsss solve it

Anonymous: if phi = 0 or pi, then the value is 3. the minimum value cannot be 12

swatidas05: how nonsense sohelzibara!!

swatidas05: It is completely wrong.

swatidas05: priyanka89621 , I am trying to solve it.

swatidas05: PLEASE MARK IT AS A BRAINLIEST ONE.

swatidas05: priyanka89621 can you please ask it as a question??

swatidas05: either I can't give the answer.

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