Question

find value of tan (19 π/3)
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Answer 1

Answer:

19 × 22/7×3

19×22/21

418/21

19.9

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Answer 2

Explanation:

Every trigonometric function has a cycle of 27, i.e. after 27, the function is repeated. In fact functions tan and cot repeat after every T.

solution: tan(19pi/3)

tan(19pi/3) = tan(18pi + pi/3) = tan(6pi + pi/3)

tan(pi/3)

(as 67 is a multiple of pi which is cycle for function tan)

and as tan(pi/3) = root3

, we have

tan(19pi/3) = root 3 = 1.73