What is the general solution for ((tan(x))/1)^{-1}=(20)/(9.7) ?

The general solution for ((tan(x))/1)^{-1}=(20)/(9.7) is x=0.45157…+pin

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((tan(x))/1)^{-1}=(20)/(9.7)

(\frac{tan ( x )}{1})^{- 1} = \frac{20}{9.7}

x = 0.45157 \dots + πn

Solution steps

(\frac{tan ( x )}{1})^{- 1} = \frac{20}{9.7}

Refine

\frac{1}{tan ( x )} = \frac{20}{9.7}

Cross multiply

9.7 = tan (x) \cdot 20

Switch sides

tan (x) \cdot 20 = 9.7

Divide both sides by

20

tan (x) = 0.485

Verify Solutions

Find undefined (singularity) points:

tan (x) = 0

Combine undefined points with solutions:

tan (x) = 0.485

Apply trig inverse properties

x = arctan (0.485) + πn

Show solutions in decimal form

x = 0.45157 \dots + πn

1 - tan (x) = sec (x)

sec (\frac{3 θ}{2}) = - 2, 0 \leq θ < 2 π

tan (x - \frac{π}{6}) = 3

- 5 cos (5 x) = 0

2 sin (x) tan (x) + 5 = 4 sec (x)

What is the general solution for ((tan(x))/1)^{-1}=(20)/(9.7) ?
The general solution for ((tan(x))/1)^{-1}=(20)/(9.7) is x=0.45157…+pin