What is the general solution for 0.5*sin(x)=1*(645*10^{-9}) ?

The general solution for 0.5*sin(x)=1*(645*10^{-9}) is x=0.00000129+2pin,x=pi-0.00000129+2pin

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0.5sin(x)=1(645*10^{-9})

0.5 \cdot sin (x) = 1 \cdot (645 \cdot 1 0^{- 9})

x = 0.00000129 + 2 πn, x = π - 0.00000129 + 2 πn

Solution steps

0.5 sin (x) = 1 \cdot (645 \cdot 1 0^{- 9})

Simplify

1 \cdot 645 \cdot 1 0^{- 9} : \frac{129}{200000000}

0.5 sin (x) = \frac{129}{200000000}

Multiply both sides by

10

5 sin (x) = \frac{129}{20000000}

Divide both sides by

5

sin (x) = \frac{129}{100000000}

Apply trig inverse properties

x = arcsin (\frac{129}{100000000}) + 2 πn, x = π - arcsin (\frac{129}{100000000}) + 2 πn

Show solutions in decimal form

x = 0.00000129 + 2 πn, x = π - 0.00000129 + 2 πn

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

5 tan^{2} (x) - 7 = 8

3 sin (2 y) - 4 sin (2 y) cos (2 y) = 0

sin (x) + sin (4 x) = 0

cos (0.568 x - 2.595) = 0

What is the general solution for 0.5*sin(x)=1*(645*10^{-9}) ?
The general solution for 0.5*sin(x)=1*(645*10^{-9}) is x=0.00000129+2pin,x=pi-0.00000129+2pin