What is the general solution for tan(θ)=(20(9.8))/(25) ?

The general solution for tan(θ)=(20(9.8))/(25) is θ=1.44393…+pin

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tan(θ)=(20(9.8))/(25)

tan (θ) = \frac{20 ( 9.8 )}{25}

θ = 1.44393 \dots + πn

Degrees

θ = 82.73111 \dots^{\circ} + 18 0^{\circ} n

Solution steps

tan (θ) = \frac{20 ( 9.8 )}{25}

Multiply the numbers:

20 \cdot 9.8 = 196

tan (θ) = \frac{196}{25}

Apply trig inverse properties

tan (θ) = \frac{196}{25}

General solutions for

tan (θ) = \frac{196}{25}

tan (x) = a \Rightarrow x = arctan (a) + πn

θ = arctan (\frac{196}{25}) + πn

θ = arctan (\frac{196}{25}) + πn

Show solutions in decimal form

θ = 1.44393 \dots + πn

What is the general solution for tan(θ)=(20(9.8))/(25) ?
The general solution for tan(θ)=(20(9.8))/(25) is θ=1.44393…+pin