Cos is nice

Geometry Level 5

cos7x+cos7(x+2π3)+cos7(x+4π3)=0. \cos^7 x + \cos^7 \left( x + \dfrac{2\pi}3 \right)+ \cos^7 \left( x + \dfrac{4\pi}3 \right) = 0 .

Determine the number of roots of xx in the interval [0,2π] [0,2\pi ] that satisfy the equation above.

×

Problem Loading...

Note Loading...

Set Loading...