\Large\text{HELP ASAP!!!!!} \boxed{\stackrel\circ\circ\boxed{\textbf{what is the sin of -4\pi /3??$}}\stackrel\circ\circ} (√(~~) )/([~~]) \text{that's what the answer shoul…

Question

`\Large\text{HELP ASAP!!!!!}`


`\boxed{\stackrel\circ\circ\boxed{\textbf{what is the sin of -4\pi /3??$}}\stackrel\circ\circ}`

`(√(~~) )/([~~])`
`\text{that's what the answer should look like}`


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Answer 1

Explanation:

Did you mean.

`\text{what \: is \: the \:sin \: of } \: - (4\pi)/(3) \: ?`

`\:`

`= \sin( - (4\pi)/(3) )`

`= \sin( - (4 * 180 \degree)/(3) )`

`= \sin( - \frac{4 * \cancel{180} \degree}{ \cancel3} )`

`= \sin( - 4 * 60 \degree)`

`= \sin( - 240 \degree)`

`= \sin(0 - 240 \degree)`

`= \sin(360 \degree - 240 \degree)`

`= \sin(120 \degree)`

`= (1)/(2) √(3) \: \: \text{is \: the \: answer}`