What is sin(arcot(-4/3)) ?

The solution to sin(arcot(-4/3)) is -sin(cot(4/3)ar)

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simplify sin(arcot(-4/3))

simplify

sin (a r cot (- \frac{4}{3}))

- sin (cot (\frac{4}{3}) a r)

Solution steps

sin (a r cot (- \frac{4}{3}))

Use the negative angle identity:

cot (- x) = - cot (x)

= sin (r a (- cot (\frac{4}{3})))

Remove parentheses:

(- a) = - a

= sin (- r a cot (\frac{4}{3}))

Use the negative angle identity:

sin (- x) = - sin (x)

= - sin (r a cot (\frac{4}{3}))

sin (arccos (\frac{x}{6}))

tan^{2} (18 0^{\circ} + x)

sin (A + π)

cos^{2} (18 0^{\circ} + x)

cos (3 0^{\circ} + x)