What is sin(x-pi/6) ?

The solution to sin(x-pi/6) is (sqrt(3))/2 sin(x)-1/2 cos(x)

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simplify sin(x-pi/6)

simplify

sin (x - \frac{π}{6})

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

Solution steps

sin (x - \frac{π}{6})

Rewrite using trig identities

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

tan (27 0^{\circ} + x)

sin (arctan (3 x))

cos (kπ)

tan (arccos (\frac{x}{2}))

sin (arcsin (y))

What is sin(x-pi/6) ?
The solution to sin(x-pi/6) is (sqrt(3))/2 sin(x)-1/2 cos(x)