Sin(-2π/3)?

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Answer 1 · 2018-05-30T08:51:36

$-sqrt3/2$

$color(blue)(sin(-(2pi)/3)$

Lets convert it into degrees,
Note:( $pi=180^circ$ )

$rarrsin(-(2*180)/3)$

$rarrsin(-(2*cancel180^60)/cancel3^1)$

$rarrsin(-120^circ)$

Now, remember that $color(brown)(sin(-x)=-sin(x)$

So,

$rarrsin(-120^circ)=-sin(120^circ)$

Now lets check out the sin value of $120^circ$

paint paint

So, $sin(120^circ)=sqrt3/2$

So,

$color(green)(rArrsin(-(2pi)/3)=-sqrt3/2$

Hope that helps!... $phi$