The minimum value of 4 cosθ + 3 is

Question

Question

This question was previously asked in

UP TGT Mathematics 2021 Official Paper

Answer 1

Concept:

The minimum value of cos θ is –1 when θ = 180°. So, the range of values of cos θ is – 1 ≤ cos θ ≤ 1.

Calculation:

Since the minimum value of cosθ is -1.

So, the minimum value of 4 cosθ + 3 = 4(-1) + 3

⇒ -4 + 3

⇒ -1

Hence, the minimum value of 4 cosθ + 3 is -1.

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