What is the general solution for (700)/(sin(90))=(236.3277)/(sin(θ)) ?

The general solution for (700)/(sin(90))=(236.3277)/(sin(θ)) is θ=0.34437…+360n,θ=180-0.34437…+360n

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(700)/(sin(90))=(236.3277)/(sin(θ))

\frac{700}{sin ( 9 0 ^{\circ} )} = \frac{236.3277}{sin ( θ )}

θ = 0.34437 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.34437 \dots + 36 0^{\circ} n

Solution steps

\frac{700}{sin ( 9 0 ^{\circ} )} = \frac{236.3277}{sin ( θ )}

sin (9 0^{\circ}) = 1

\frac{700}{1} = \frac{236.3277}{sin ( θ )}

Cross multiply

700 sin (θ) = 236.3277

Divide both sides by

700

sin (θ) = \frac{236.3277}{700}

Verify Solutions

Find undefined (singularity) points:

sin (θ) = 0

Combine undefined points with solutions:

sin (θ) = \frac{236.3277}{700}

Apply trig inverse properties

θ = arcsin (\frac{236.3277}{700}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{236.3277}{700}) + 36 0^{\circ} n

Show solutions in decimal form

θ = 0.34437 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.34437 \dots + 36 0^{\circ} n

cos (x) + cos (2 x) = - 0.75

x, 2 y = sin (2 x)

- csc (θ) + 5 = cot (θ) + 6

sin (θ) - 0.2 \cdot cos (θ) = 0.11836

2 sin^{2} (x) - 3 = cos (x) - 2

What is the general solution for (700)/(sin(90))=(236.3277)/(sin(θ)) ?
The general solution for (700)/(sin(90))=(236.3277)/(sin(θ)) is θ=0.34437…+360n,θ=180-0.34437…+360n