Question

the value of x for the minimum value of √3cos x +sin x is ​

Answer 1

Expressions like this can be changed into Rsin(x + θ) because when we expand this we can equate similar terms to find R and θ

Rsin(x + θ) = R(sinx.cosθ + cosx.sinθ)

= Rsinx.cosθ + Rcosx.sinθ

Compare to: √3 sin x + cos x

Then Rcosθ = √3 and Rsinθ = 1

Now we get: √3 sin x + cos x = 2sin(x + 30)

And clearly the function y = 2sin(x + 30) is just a sine graph translated 30 degrees to the left and stretch vertically by a factor of 2 which means the maximum value = 2 (and the minimum value is – 2)

Answer 2

Answer:

210 degree

Step-by-step explanation:

it is a correct answer