What is sin(pi/3-x) ?

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

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simplify sin(pi/3-x)

simplify

sin (\frac{π}{3} - x)

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

Solution steps

sin (\frac{π}{3} - x)

Rewrite using trig identities

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

(2 csc (θ))^{2} - 4

f (x) = cos (9 0^{\circ} + arcsin (x))

sin (arccos (x + 3))

cos (- x) sin (- x) csc (- x)

4 sin (3 0^{\circ} + x)

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