Question
Minimum value of 5sin2θ+4cos2θ is
Answer: Option D
:
D
Was this answer helpful ?
:
D
Let f(θ) = 5sin2θ+4cos2θ = 4+sin2θ
∴ f(θ) ≥ 4 + 0 (∵sin2θ≥0)
∴ The minimum value of f(θ) is 4.
Was this answer helpful ?
More Questions on This Topic :
Question 1.
The maximum value of 3cos θ - 4 sinθ is
....
Question 2.
The value of a cos θ + b sin θ lies between
....
Question 3.
If cos3θ = αcosθ+βcos3θ, then (α,β) =
....
Question 4.
If sinA=sinB and cosA=cosB, then
....
Question 5.
1tan3A−tanA - 1cot3A−cotA =
....
Question 7.
cosec A - 2cot 2A cos A =
....
Question 8.
(cosα+cosβ)2+(sinα+sinβ)2 =
....
Question 9.
If tan A=2tanB+cotB, then 2tan(A-B)=
....
Submit Solution