What is the general solution for arcsin(x-0.355)=0.489 ?

The general solution for arcsin(x-0.355)=0.489 is x=sin(489/1000)+0.355

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arcsin(x-0.355)=0.489

arcsin (x - 0.355) = 0.489

x = sin (\frac{489}{1000}) + 0.355

Solution steps

arcsin (x - 0.355) = 0.489

Apply trig inverse properties

arcsin (x - 0.355) = 0.489

arcsin (x) = a \Rightarrow x = sin (a)

x - 0.355 = sin (0.489)

sin (0.489) = sin (\frac{489}{1000})

sin (0.489)

x - 0.355 = sin (\frac{489}{1000})

x - 0.355 = sin (\frac{489}{1000})

Solve

x - 0.355 = sin (\frac{489}{1000}) : x = sin (\frac{489}{1000}) + 0.355

x - 0.355 = sin (\frac{489}{1000})

Move

0.355

to the right side

x - 0.355 = sin (\frac{489}{1000})

Add

0.355

to both sides

x - 0.355 + 0.355 = sin (\frac{489}{1000}) + 0.355

Simplify

x = sin (\frac{489}{1000}) + 0.355

x = sin (\frac{489}{1000}) + 0.355

x = sin (\frac{489}{1000}) + 0.355

cos (\frac{π}{2} - x) = \frac{4}{5}

6 = 10 cos (4 \cdot o)

2 cos (2 θ) + 5 cos (θ) = 4

y, x = sin (\frac{1}{2} y)

sin^{2} (θ) - sin (θ) = 2

What is the general solution for arcsin(x-0.355)=0.489 ?
The general solution for arcsin(x-0.355)=0.489 is x=sin(489/1000)+0.355