Is cos(pi/3+θ)+cos(pi/3-x)=cos(x) ?

The answer to whether cos(pi/3+θ)+cos(pi/3-x)=cos(x) is False

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prove cos(pi/3+θ)+cos(pi/3-x)=cos(x)

prove

cos (\frac{π}{3} + θ) + cos (\frac{π}{3} - x) = cos (x)

False

Solution steps

cos (\frac{π}{3} + θ) + cos (\frac{π}{3} - x) = cos (x)

Show that the two sides are not equal

\Rightarrow False

csc^{2} (x) tan (x) - cot (x) = tan (x)

1 - sin^{2} (x) = - cos (x)

tan^{- 3} (x) = (tan (x))^{- 3}

\frac{1}{- 6 csc ^{2} ( 6 x - 1 )} = - \frac{sin ^{2} ( 6 x - 1 )}{6}

sin (x) - tan (x) = \frac{1}{sec ( x ) + tan ( x )}

Is cos(pi/3+θ)+cos(pi/3-x)=cos(x) ?
The answer to whether cos(pi/3+θ)+cos(pi/3-x)=cos(x) is False