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What is the value of tan θ when θ is 30°?(a) \( \frac {1}{\sqrt 3}\)(b) 1(c) 0(d) 2I got this question by my college professor while I was bunking the class.Enquiry is from Trigonometric Ratios ofSpecific Angles in portion Trigonometry of Mathematics – Class 10

Answer»

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

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

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

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

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



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