Question

Minimum value of sin 2x minus root 3 cos 2x is

Answer 1

Question :- Minimum value of sin 2x - √3cos 2x is = ?

Solution :-

We know that, minimum value of a*sinA + b*cosA is given by :- (-1)√(a² + b²)

So,

comparing sin(2x) - √3cos(2x) with a*sinA + b*cosA we get,

• a = 1
• b = √3

Therefore,

→ Minimum value of sin(2x) - √3cos(2x) = (-1)√(a² + b²)

Putting values we get,

→ Minimum value = (-1)√{1² + (√3)²}

→ Minimum value = (-1)√(1 + 3)

→ Minimum value = (-1)√(4)

→ Minimum value = (-1) * 2

→ Minimum value = (-2) (Ans.)

Hence, Minimum value of sin 2x - √3cos 2x is (-2).

Learn More :-

7. The value of x for the minimum value of √3 cos x +sin x is

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