What is the general solution for sin(θ)=(0.000069)2(500*10^{-9}) ?

The general solution for sin(θ)=(0.000069)2(500*10^{-9}) is θ=0+2pin,θ=pi-0+2pin

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sin(θ)=(0.000069)2(500*10^{-9})

sin (θ) = (0.000069) 2 (500 \cdot 1 0^{- 9})

θ = 0 + 2 πn, θ = π - 0 + 2 πn

Solution steps

sin (θ) = (0.000069) \cdot 2 (500 \cdot 1 0^{- 9})

Simplify

0.000069 \cdot 2 \cdot 500 \cdot 1 0^{- 9} : \frac{0.000069}{1000000}

Apply trig inverse properties

θ = arcsin (\frac{0.000069}{1000000}) + 2 πn, θ = π - arcsin (\frac{0.000069}{1000000}) + 2 πn

Show solutions in decimal form

θ = 0 + 2 πn, θ = π - 0 + 2 πn

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

(csc (x) + 2) (csc (x) - 2) = 0, 0 \leq x \leq 2 π

cos (x) = 55

cos (x) = 35

sin (x) = \frac{12}{10}

What is the general solution for sin(θ)=(0.000069)2(500*10^{-9}) ?
The general solution for sin(θ)=(0.000069)2(500*10^{-9}) is θ=0+2pin,θ=pi-0+2pin