minimum value of 4tan²∅+3cos²∅
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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.
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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.
☺☺☺☺☺
priyanka89621:
thnxx
sec theta + tan theta =3 what is the value of sin3 theta
plsss solve it
if phi = 0 or pi, then the value is 3. the minimum value cannot be 12
how nonsense sohelzibara!!
It is completely wrong.
priyanka89621 , I am trying to solve it.
PLEASE MARK IT AS A BRAINLIEST ONE.
priyanka89621 can you please ask it as a question??
either I can't give the answer.
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