What is the general solution for 0.1*sin(θ)cos(53.13)+0.1*sin(θ)=0 ?

The general solution for 0.1*sin(θ)cos(53.13)+0.1*sin(θ)=0 is θ=360n,θ=180+360n

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0.1sin(θ)cos(53.13)+0.1sin(θ)=0

0.1 \cdot sin (θ) cos (53.1 3^{\circ}) + 0.1 \cdot sin (θ) = 0

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

Solution steps

0.1 sin (θ) cos (53.1 3^{\circ}) + 0.1 sin (θ) = 0

Simplify

0.1 sin (θ) cos (53.1 3^{\circ}) + 0.1 sin (θ) : 0.16000 \dots sin (θ)

0.16000 \dots sin (θ) = 0

Divide both sides by

0.16000 \dots

sin (θ) = 0

General solutions for

sin (θ) = 0

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

Solve

θ = 0 + 36 0^{\circ} n : θ = 36 0^{\circ} n

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

tan (θ) = (1)

sec^{2} (x) = \frac{3 3}{π}

sin (θ) (sin (θ) + 1) = 0

6 tan^{2} (x) + 13 tan (x) + 6 = 0

0 = arctan (x) + \frac{π}{2}

What is the general solution for 0.1*sin(θ)cos(53.13)+0.1*sin(θ)=0 ?
The general solution for 0.1*sin(θ)cos(53.13)+0.1*sin(θ)=0 is θ=360n,θ=180+360n