Maharashtra State BoardHSC Science (General) 11th
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Find the value of : sin 19πc3 - Mathematics and Statistics

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Sum

Find the value of :

`sin  (19pi^"c")/3`

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Solution

We know that sine function is periodic with period 2π.

∴ `sin  (19pi^"c")/3 = sin(6pi + pi/3)`

=  `sin(3 xx 2pi + pi/3)`

= `sin pi/3`

= `sqrt(3)/2`.

Concept: Periodicity of Trigonometric Functions
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