What is the general solution for -6sin(c)+0=sin(c)-3 ?

The general solution for -6sin(c)+0=sin(c)-3 is c=0.44291…+2pin,c=pi-0.44291…+2pin

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-6sin(c)+0=sin(c)-3

- 6 sin (c) + 0 = sin (c) - 3

c = 0.44291 \dots + 2 πn, c = π - 0.44291 \dots + 2 πn

Solution steps

- 6 sin (c) + 0 = sin (c) - 3

Solve by substitution

sin (c) = \frac{3}{7}

sin (c) = \frac{3}{7} : c = arcsin (\frac{3}{7}) + 2 πn, c = π - arcsin (\frac{3}{7}) + 2 πn

Combine all the solutions

c = arcsin (\frac{3}{7}) + 2 πn, c = π - arcsin (\frac{3}{7}) + 2 πn

Show solutions in decimal form

c = 0.44291 \dots + 2 πn, c = π - 0.44291 \dots + 2 πn

tan (x) = \frac{11}{12}

2 cos (a) + 3 = 4

tan (x) cot (x) - 3 tan (x) = 0

cos (θ) = 0.139

- \frac{2 3}{3} = sec (θ)

What is the general solution for -6sin(c)+0=sin(c)-3 ?
The general solution for -6sin(c)+0=sin(c)-3 is c=0.44291…+2pin,c=pi-0.44291…+2pin