Math, asked by PragyaTbia, 11 months ago

Find the values of the trigonometric function for the following: tan\frac{19\pi }{3}.

Answers

Answered by abhi178
3
Given, tan( 19π/3 )

tan( 19π/3 ) = tan{ (18π + π)/3 }

= tan{ 18π/3 + π/3 }

= tan{ 6π + π/3 }

= tan{2π.(3) + π/3 }

we know, tanx = tan(2nπ + x) , where n is integral number

so, tan{2π.3 + π/3} = tanπ/3 = √3

hence, tan(19π/3) = √3
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