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Mathematics 7 Online
OpenStudy (anonymous):

cos((−11π)/3)

OpenStudy (gorv):

welcome to OS :)

OpenStudy (gorv):

\[\frac{ 11 \pi }{ 3}=3 \pi +\frac{ 2 \pi }{ 3 }\]

OpenStudy (gorv):

\[3\pi =2\pi+\pi\]

OpenStudy (gorv):

\[=2\pi+\pi+\frac{ 2\pi }{ 3 }\]

OpenStudy (gorv):

2 pi we can remove it ....

OpenStudy (gorv):

\[\cos (-2\pi-\theta)=\cos (-\theta)\]

OpenStudy (gorv):

\[\cos (-(2\pi+(\pi+\frac{ 2\pi }{ 3 }))=\cos (-(\pi+\frac{ 2\pi }{ 3 })\]

OpenStudy (gorv):

\[\pi+2\pi/3=180+120=300 degree\]

OpenStudy (gorv):

- 300 degree

OpenStudy (gorv):

|dw:1413097980493:dw|

OpenStudy (gorv):

so -300 will be in first quaderent so cos will give positive value here ...as trigonometric functio give positive value nin first quad

OpenStudy (gorv):

\[-300=-360+60\]

OpenStudy (gorv):

BUT 360= 2pi we can remove it so we left with 60 only that is pi/3

OpenStudy (gorv):

\[\cos (\frac{ \pi }{ 3 })=???\]

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