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

The general solution for 7sin(x)+3=sin(x)+2 is x=-0.16744…+2pin,x=pi+0.16744…+2pin

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

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

x = - 0.16744 \dots + 2 πn, x = π + 0.16744 \dots + 2 πn

Solution steps

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

Solve by substitution

sin (x) = - \frac{1}{6}

sin (x) = - \frac{1}{6} : x = arcsin (- \frac{1}{6}) + 2 πn, x = π + arcsin (\frac{1}{6}) + 2 πn

Combine all the solutions

x = arcsin (- \frac{1}{6}) + 2 πn, x = π + arcsin (\frac{1}{6}) + 2 πn

Show solutions in decimal form

x = - 0.16744 \dots + 2 πn, x = π + 0.16744 \dots + 2 πn

24 cos (x) = 122

cos (3 x) = \frac{3}{3}

- 6 csc^{2} (x) + cot (x) = - 18

tan (θ) = \frac{7}{7}

x, tan (x + y + \frac{π}{4}) = e^{y}

What is the general solution for 7sin(x)+3=sin(x)+2 ?
The general solution for 7sin(x)+3=sin(x)+2 is x=-0.16744…+2pin,x=pi+0.16744…+2pin