What is the general solution for 1609.3=(1.133^2)/((9.8)tan(θ)) ?

The general solution for 1609.3=(1.133^2)/((9.8)tan(θ)) is θ=0.00008…+pin

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1609.3=(1.133^2)/((9.8)tan(θ))

1609.3 = \frac{1.13 3 ^{2}}{( 9.8 ) tan ( θ )}

θ = 0.00008 \dots + πn

Solution steps

1609.3 = \frac{1.13 3 ^{2}}{( 9.8 ) tan ( θ )}

Switch sides

\frac{1.13 3 ^{2}}{9.8 tan ( θ )} = 1609.3

Simplify

\frac{1.13 3 ^{2}}{9.8 tan ( θ )} : \frac{1.283689}{9.8 tan ( θ )}

\frac{1.283689}{9.8 tan ( θ )} = 1609.3

Multiply both sides by

tan (θ)

\frac{1.283689}{9.8} = 1609.3 tan (θ)

Switch sides

1609.3 tan (θ) = \frac{1.283689}{9.8}

Divide both sides by

1609.3

tan (θ) = \frac{1.283689}{15771.14}

Verify Solutions

Find undefined (singularity) points:

tan (θ) = 0

Combine undefined points with solutions:

tan (θ) = \frac{1.283689}{15771.14}

Apply trig inverse properties

θ = arctan (\frac{1.283689}{15771.14}) + πn

Show solutions in decimal form

θ = 0.00008 \dots + πn

2 sec^{2} (2 x) = 0

cos (x) = (\frac{- 3}{4})

4 (cos (x))^{2} = 5 - 4 sin (x)

tan (2 t) = 1

21 = 3 \cdot 2 \cdot 25 sin (x) + 9.8 \cdot 3 \cdot 2 \cdot 3 \cdot 2 \cdot 0.5

What is the general solution for 1609.3=(1.133^2)/((9.8)tan(θ)) ?
The general solution for 1609.3=(1.133^2)/((9.8)tan(θ)) is θ=0.00008…+pin