Question

If cos θ = `1/sqrt2`, then tan θ is equal to ______.

Options

• `1/sqrt2`

• 0

• 1

• `sqrt2 + 1`

Answer 1

If cos θ = `1/sqrt2`, then tan θ is equal to 1.

Explanation:

Given, cos θ = `1/sqrt2`

Since, cos θ = `1/sqrt2` = cos 45°  ...[∴ θ = 45°]

Now, tan θ = 45° = 1

Hence, the value of tan θ is 1.