What is the general solution for 3sin(x)-2=7sin(x)-3 ?

The general solution for 3sin(x)-2=7sin(x)-3 is x=0.25268…+2pin,x=pi-0.25268…+2pin

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3sin(x)-2=7sin(x)-3

3 sin (x) - 2 = 7 sin (x) - 3

x = 0.25268 \dots + 2 πn, x = π - 0.25268 \dots + 2 πn

Solution steps

3 sin (x) - 2 = 7 sin (x) - 3

Solve by substitution

sin (x) = \frac{1}{4}

sin (x) = \frac{1}{4} : x = arcsin (\frac{1}{4}) + 2 πn, x = π - arcsin (\frac{1}{4}) + 2 πn

Combine all the solutions

x = arcsin (\frac{1}{4}) + 2 πn, x = π - arcsin (\frac{1}{4}) + 2 πn

Show solutions in decimal form

x = 0.25268 \dots + 2 πn, x = π - 0.25268 \dots + 2 πn

5 5^{2} = 5 0^{2} + 9 0^{2} - 2 \cdot 50 \cdot 90 \cdot cos (x)

x, z = sin (2 x + y)

7 tan (x) = 23 + tan (x), 0^{\circ} \leq θ \leq 9 0^{\circ}

sin (X) = 1

x, \frac{17}{sin ( x )} = \frac{23}{sin ( 7 5 ^{\circ} )}

What is the general solution for 3sin(x)-2=7sin(x)-3 ?
The general solution for 3sin(x)-2=7sin(x)-3 is x=0.25268…+2pin,x=pi-0.25268…+2pin