Question

What is the minimum value of cos θ, 0 ≤ θ ≤ 90°

Answer 1

Step-by-step explanation:

Maximum value of cos θ is 1 when θ = 0˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚. So, the range of values of cos θ is – 1 ≤ cos θ ≤ 1.

Answer 2

The minimum value of cosθ is 0, when 0 ≤ θ ≤ 90°.

Given:

cos θ, 0 ≤ θ ≤ 90°.

To Find:

We have to find the minimum value of cos θ, 0 ≤ θ ≤ 90°.

Solution:

This is a simple problem for trigonometry.

Let us tackle this problem.

We can simply solve this problem as follows.

According to the question,

We are asked to find the minimum value of cos θ, where 0 ≤ θ ≤ 90°

We know that,

cosθ = 1 , when θ = 0°

cosθ = $\frac{1}{\sqrt{2} }$ , when θ = 45°

cosθ = 0 , when θ = 90°

So, we can observe that,

The value of cosθ decreases as θ tends to 90° from 0°.

Hence, the minimum value of cosθ is 0, when the value of θ is 90°.

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