Question

What is the value of tan θ when θ is 30°?

(a) \( \frac {1}{\sqrt 3}\)

(b) 1

(c) 0

(d) 2

I got this question by my college professor while I was bunking the class.

Enquiry is from Trigonometric Ratios of  Specific Angles in portion Trigonometry of Mathematics – Class 10

Answer 1

The correct option is (a) \( \frac {1}{\sqrt 3}\)

The explanation: Tan θ = \( \frac {Sin \, \theta}{Cos \, \theta} = \frac {Sin \, 30^{\circ }}{Cos \, 30^{\circ }} \)

= \( \frac {1/2}{\sqrt 3/2}\)

= \( \frac {1}{2} \times \frac {2}{\sqrt 3}\)

= \( \frac {1}{\sqrt 3}\)