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Prove that all values of theta: |(sinthe...

Prove that all values of theta: `|(sintheta, costheta, sin2theta),(sin(theta+(2pi)/3), cos(theta(2pi)/3), sin (2theta+(4pi)/3)),(sin (theta- (2pi)/3), cos (theta- (2pi)/3), sin (2theta- (4pi)/3))|=0`

A

`-sin theta -cos theta`

B

`sin2 theta`

C

`1+sin 2theta-cos 2theta`

D

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The correct Answer is:
D
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