What is the general solution for (sin(θ))/(60)=(sin(80))/(280.87) ?

The general solution for (sin(θ))/(60)=(sin(80))/(280.87) is θ=0.21196…+360n,θ=180-0.21196…+360n

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(sin(θ))/(60)=(sin(80))/(280.87)

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

θ = 0.21196 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.21196 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( θ )}{60} = \frac{sin ( 8 0 ^{\circ} )}{280.87}

Multiply both sides by

10

\frac{sin ( θ )}{6} = \frac{10 sin ( 8 0 ^{\circ} )}{280.87}

Multiply both sides by

6

sin (θ) = \frac{60 sin ( 8 0 ^{\circ} )}{280.87}

Apply trig inverse properties

θ = arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n, θ = 18 0^{\circ} - arcsin (\frac{60 sin ( 8 0 ^{\circ} )}{280.87}) + 36 0^{\circ} n

Show solutions in decimal form

θ = 0.21196 \dots + 36 0^{\circ} n, θ = 18 0^{\circ} - 0.21196 \dots + 36 0^{\circ} n

5.63 = 11 cos (\frac{2 π}{T} 0.137)

2 cos (x) - sin (x) = 2

x = 2 arctan (z), z

- 4 - 6 cos (θ) = - 7

cot (x) - csc (x) = 3

What is the general solution for (sin(θ))/(60)=(sin(80))/(280.87) ?
The general solution for (sin(θ))/(60)=(sin(80))/(280.87) is θ=0.21196…+360n,θ=180-0.21196…+360n