What is the general solution for -9.81+5(32.17)(12/2)sin(θ)=0 ?

The general solution for -9.81+5(32.17)(12/2)sin(θ)=0 is θ=0.01016…+2pin,θ=pi-0.01016…+2pin

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-9.81+5(32.17)(12/2)sin(θ)=0

- 9.81 + 5 (32.17) (\frac{12}{2}) sin (θ) = 0

θ = 0.01016 \dots + 2 πn, θ = π - 0.01016 \dots + 2 πn

Solution steps

- 9.81 + 5 (32.17) (\frac{12}{2}) sin (θ) = 0

5 \cdot 32.17 \cdot \frac{12}{2} sin (θ) = 965.1 sin (θ)

- 9.81 + 965.1 sin (θ) = 0

Multiply both sides by

100

- 981 + 96510 sin (θ) = 0

Move

981

to the right side

96510 sin (θ) = 981

Divide both sides by

96510

sin (θ) = \frac{327}{32170}

Apply trig inverse properties

θ = arcsin (\frac{327}{32170}) + 2 πn, θ = π - arcsin (\frac{327}{32170}) + 2 πn

Show solutions in decimal form

θ = 0.01016 \dots + 2 πn, θ = π - 0.01016 \dots + 2 πn

2 sin^{3} (x) - sin^{2} (x) - 2 sin (x) + 1 = 0

2 sin (x) = - 2

3 sin (x) = sin (x) + 1

sin (4 x) = sin (x)

3 sin (2 θ) - 4 sin (θ) = 0

What is the general solution for -9.81+5(32.17)(12/2)sin(θ)=0 ?
The general solution for -9.81+5(32.17)(12/2)sin(θ)=0 is θ=0.01016…+2pin,θ=pi-0.01016…+2pin