What is arctan(-1/(tan(ωt))) ?

The solution to arctan(-1/(tan(ωt))) is arctan(-cot(ωt))

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simplify arctan(-1/(tan(ωt)))

simplify

arctan (- \frac{1}{tan ( ω t )})

arctan (- cot (ω t))

Solution steps

arctan (- \frac{1}{tan ( ω t )})

Use the basic trigonometric identity:

\frac{1}{tan ( x )} = cot (x)

= arctan (- cot (ω t))

4 sin (3 i^{2} n^{4} - 4 + 5)

f (x) = 8.06 sin (x - 29.7 4^{\circ})

5 sin (- t)

sin (\frac{- 5 x}{4})

3 - 3 sin^{2} (x)

What is arctan(-1/(tan(ωt))) ?
The solution to arctan(-1/(tan(ωt))) is arctan(-cot(ωt))