What is the general solution for tan(θ+26.565)=(12.5^2)/(9.81(60)) ?

The general solution for tan(θ+26.565)=(12.5^2)/(9.81(60)) is θ=0.25947…+180n-26.56500…

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tan(θ+26.565)=(12.5^2)/(9.81(60))

tan (θ + 26.56 5^{\circ}) = \frac{12. 5 ^{2}}{9.81 ( 60 )}

θ = 0.25947 \dots + 18 0^{\circ} n - 26.56500 \dots^{\circ}

Solution steps

tan (θ + 26.56 5^{\circ}) = \frac{12. 5 ^{2}}{9.81 ( 60 )}

Simplify

\frac{12. 5 ^{2}}{9.81 \cdot 60} : \frac{156.25}{588.6}

Apply trig inverse properties

θ + 26.56500 \dots^{\circ} = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n

Solve

θ + 26.56500 \dots^{\circ} = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n : θ = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n - 26.56500 \dots^{\circ}

θ = arctan (\frac{156.25}{588.6}) + 18 0^{\circ} n - 26.56500 \dots^{\circ}

Show solutions in decimal form

θ = 0.25947 \dots + 18 0^{\circ} n - 26.56500 \dots^{\circ}

2 sin^{2} (θ) + (2 - 3) sin (θ) - 3 = 0

21 sin (t) cos (t) = - 6 cos (t)

sec (θ) = 4

- sin (x) - sin^{2} (x) + cos^{2} (x) = 0

5 sin (x) = 1

What is the general solution for tan(θ+26.565)=(12.5^2)/(9.81(60)) ?
The general solution for tan(θ+26.565)=(12.5^2)/(9.81(60)) is θ=0.25947…+180n-26.56500…