If A-sin 2- 7 -sin 4- 7 -sin 8- 7 and B-cos 2- 7 -cos 4- 7 -cos 8- 7 then - A 2 - B 2 is equal to

The correct option is B √( 2 ) undefined ...

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Parametric Differentiation

If A=sin 2π...

Question

If $A = sin \frac{2 π}{7} + sin \frac{4 π}{7} + sin \frac{8 π}{7}$ and $B = cos \frac{2 π}{7} + cos \frac{4 π}{7} + cos \frac{8 π}{7}$ then $\sqrt{A^{2} + B^{2}}$ is equal to

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\sqrt{2}

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\sqrt{3}

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Solution

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Similar questions

A = sin \frac{2 π}{7} + sin \frac{4 π}{7} + sin \frac{8 π}{7}

B = cos \frac{2 π}{7} + cos \frac{4 π}{7} + cos \frac{8 π}{7}

A^{2} + B^{2}

x = sin \frac{2 π}{7} + sin \frac{4 π}{7} + sin \frac{8 π}{7} a n d y = cos \frac{2 π}{7} + cos \frac{4 π}{7} + cos \frac{8 π}{7} t h e n x^{2} + y^{2} =

sin \frac{2 π}{7} + sin \frac{4 π}{7} + sin \frac{8 π}{7} = \frac{\sqrt{7}}{2}

cos \frac{2 π}{7} + i sin \frac{2 π}{7}

sin \frac{2 π}{7} + sin \frac{4 π}{7} + sin \frac{8 π}{7}

cos \frac{2 π}{7} . cos \frac{4 π}{7} . cos \frac{8 π}{7} = \frac{1}{8}

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