If sin (π/2 - θ/3) = √3/2 then find the value of tan θ?1. √32.

1.	If sin (π/2 - θ/3) = √3/2 then find the value of tan θ?1. √32. 13. 04. Not define
Answer» 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) = cosθ ⇒ cos30° = √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

If sin (π/2 - θ/3) = √3/2 then find the value of tan θ?1. √32. 13. 04. Not define

Answer» 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) = cosθ

⇒ cos30° = √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