Question

If cos θ = ${\displaystyle \frac{1}{\sqrt{2}}}$, then tan θ is equal to ______.

पर्याय

• ${\displaystyle \frac{1}{\sqrt{2}}}$

• 0

• 1

• ${\displaystyle \sqrt{2}+1}$

Answer 1

If cos θ = ${\displaystyle \frac{1}{\sqrt{2}}}$, then tan θ is equal to 1.

Explanation:

Given, cos θ = ${\displaystyle \frac{1}{\sqrt{2}}}$

Since, cos θ = ${\displaystyle \frac{1}{\sqrt{2}}}$ = cos 45°  ...[∴ θ = 45°]

Now, tan θ = 45° = 1

Hence, the value of tan θ is 1.