Question

If sin (π/2 - θ/3) = √3/2 then find the value of tan θ?
1. √3
2. 1
3. 0
4. Not define
5. 2

Answer 1

Correct Answer - Option 4 : Not define

Given:

It is given that sin (π/2 - θ/3) = √3/2

Formula Used:

Basic concept of trigonometric ratio and identities

We know that

sin(90 -θ) = cos θ

⇒ cos 30° = √3/2

Calculation:

We know that sin (π /2 - θ) = cos θ

∴ sin(π/2 - θ/3) = √3/2

⇒ cos(θ/3) = cos 30°

⇒ θ/3 = 30° = θ = 90°

Now, value of tan θ = tan 90° = Not define

Hence, option (4) is correct