Question

The value of 2sinθ can be `a + 1/a`, where a is a positive number, and a ≠ 1.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

Let a = 2, then `a + 1/a = 2 + 1/2 = 5/2`

If 2sinθ = `a + 1/a`, then a

2sinθ = `5/2`

⇒ sinθ =  `5/4` = 1.25

Which is not possible   ...[∵ sin θ ≤ 1]