Question

Minimum value of 5 sin square theta+ 4 cos square theta is -​

Answer 1

Answer:

5sin theta+4 cos theta minimum value is - 6.40

Step-by-step explanation:

We know that,

The minimum and the maximum value of a sinθ + b cosθ is given as :

≤  a sinθ + b cosθ ≤

On comparing,

5 sinθ + 4 cos θ with a sinθ + b cosθ we get,

a  = 5

b = 4

Substituting the values of a and b in the equation we get,

≤  5 sinθ + 4 cosθ ≤

≤  5 sinθ + 4 cosθ ≤

≤  5 sinθ + 4 cosθ ≤

So,

Minimum of ( 5 sinθ + 4 cos θ ) =  = - 6.40

Hence,

5sin theta+4 cos theta minimum value is - 6.40

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Answer 2

Answer-4 because when we put theta=90.we will get 5 and when we put theta=0.we will get 4.so it will be the minimum value.You can use these heat and trial method