What is the general solution for ((176)^2)/(300*32.2)=tan(θ+30.9637) ?

The general solution for ((176)^2)/(300*32.2)=tan(θ+30.9637) is θ=1.26849…+180n-30.96370…

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((176)^2)/(300*32.2)=tan(θ+30.9637)

\frac{( 176 ) ^{2}}{300 \cdot 32.2} = tan (θ + 30.963 7^{\circ})

θ = 1.26849 \dots + 18 0^{\circ} n - 30.96370 \dots^{\circ}

Solution steps

\frac{( 176 ) ^{2}}{300 \cdot 32.2} = tan (θ + 30.963 7^{\circ})

Switch sides

tan (θ + 30.96370 \dots^{\circ}) = \frac{17 6 ^{2}}{300 \cdot 32.2}

Simplify

\frac{17 6 ^{2}}{300 \cdot 32.2} : \frac{7744}{2415}

Apply trig inverse properties

θ + 30.96370 \dots^{\circ} = arctan (\frac{7744}{2415}) + 18 0^{\circ} n

Solve

θ + 30.96370 \dots^{\circ} = arctan (\frac{7744}{2415}) + 18 0^{\circ} n : θ = arctan (\frac{7744}{2415}) + 18 0^{\circ} n - 30.96370 \dots^{\circ}

θ = arctan (\frac{7744}{2415}) + 18 0^{\circ} n - 30.96370 \dots^{\circ}

Show solutions in decimal form

θ = 1.26849 \dots + 18 0^{\circ} n - 30.96370 \dots^{\circ}

sin (\frac{x}{2}) = \frac{1}{2}, 0 \leq, x \leq 36 0^{\circ}

- 1 - 2 sin (x) = 0

sin (x) = 3 cos (x), sin (x) cos (x)

tan (x) = \frac{4}{10}

1 - cos (x) + sin (x) - 1 = 0

What is the general solution for ((176)^2)/(300*32.2)=tan(θ+30.9637) ?
The general solution for ((176)^2)/(300*32.2)=tan(θ+30.9637) is θ=1.26849…+180n-30.96370…