What is tan((3pi)/2+x) ?

The solution to tan((3pi)/2+x) is -cot(x)

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simplify tan((3pi)/2+x)

simplify

tan (\frac{3 π}{2} + x)

- cot (x)

Solution steps

tan (\frac{3 π}{2} + x)

Rewrite using trig identities

= - \frac{cos ( x )}{sin ( x )}

Rewrite using trig identities

= - cot (x)

cos (36 0^{\circ} - x)

cos (18 0^{\circ} - a)

sin (x) + sin (- x)

sin (9 0^{\circ} - a)

tan (arccos (\frac{x}{3}))