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Find the value of csin 19πc3. - Mathematics and Statistics

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Question

Find the value of `sin  (19pi^"c")/3`.

Sum

Solution

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

∴ `sin  (19pi^"c")/3`

= `sin ((18pi + pi)/3)`

= `sin(6pi + pi/3)`

= `sin  pi/3`

= `sqrt(3)/2`.

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Periodicity of Trigonometric Functions
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Chapter 2: Trigonometry - 1 - EXERCISE 2.2 [Page 31]
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