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cos((−11π)/3)
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welcome to OS :)
\[\frac{ 11 \pi }{ 3}=3 \pi +\frac{ 2 \pi }{ 3 }\]
\[3\pi =2\pi+\pi\]
\[=2\pi+\pi+\frac{ 2\pi }{ 3 }\]
2 pi we can remove it ....
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\[\cos (-2\pi-\theta)=\cos (-\theta)\]
\[\cos (-(2\pi+(\pi+\frac{ 2\pi }{ 3 }))=\cos (-(\pi+\frac{ 2\pi }{ 3 })\]
\[\pi+2\pi/3=180+120=300 degree\]
- 300 degree
|dw:1413097980493:dw|
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so -300 will be in first quaderent so cos will give positive value here ...as trigonometric functio give positive value nin first quad
\[-300=-360+60\]
BUT 360= 2pi we can remove it so we left with 60 only that is pi/3
\[\cos (\frac{ \pi }{ 3 })=???\]
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