What is 1+cot(x-3 pi/2) ?

The solution to 1+cot(x-3 pi/2) is 1-tan(x)

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simplify 1+cot(x-3 pi/2)

simplify

1 + cot (x - 3 \frac{π}{2})

1 - tan (x)

Solution steps

1 + cot (x - 3 \cdot \frac{π}{2})

Rewrite using trig identities

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

Rewrite using trig identities

= 1 - tan (x)

tan (9 0^{\circ} + θ)

tan (x - 9 0^{\circ})

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

sin (2 x - \frac{π}{2})

cos (- 2 t)