Formula: sin (π + θ) = sinθ sin ( θ) = sinθ sin ( 11π3) = sin (3π + 2π3) = sin (2π3) = sin 120^∘ = √(3)2 ...

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Domain and Range of Basic Inverse Trigonometric Functions

Find sin-11...

Question

Find $sin (- \frac{11 π}{3})$

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Solution

Formula:
$sin (π + θ) = sin θ$
$s i n (- θ) = - sin θ$

$sin (- \frac{11 π}{3}) = - sin (3 π + \frac{2 π}{3}) = - sin (\frac{2 π}{3}) = - sin 120^{\circ} = - \frac{\sqrt{3}}{2}$

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