What is cos(x+60)-(x-60) ?

The solution to cos(x+60)-(x-60) is 1/2 cos(x)-(sqrt(3))/2 sin(x)-x+60

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simplify cos(x+60)-(x-60)

simplify

cos (x + 6 0^{\circ}) - (x - 60)

\frac{1}{2} cos (x) - \frac{3}{2} sin (x) - x + 60

Solution steps

cos (x + 6 0^{\circ}) - (x - 60)

Rewrite using trig identities

= \frac{1}{2} cos (x) - \frac{3}{2} sin (x) - (x - 60)

- (x - 60) : - x + 60

= \frac{1}{2} cos (x) - \frac{3}{2} sin (x) - x + 60

sin (x + 0.5 π)

cos (θ - 2 π)

sec (arctan (\frac{y}{x}))

sin (12 0^{\circ} - a)

arctan (tan (x + \frac{π}{8}))

What is cos(x+60)-(x-60) ?
The solution to cos(x+60)-(x-60) is 1/2 cos(x)-(sqrt(3))/2 sin(x)-x+60