What is the general solution for 1.5=6sin(x) ?

The general solution for 1.5=6sin(x) is x=0.25268…+2pin,x=pi-0.25268…+2pin

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1.5=6sin(x)

1.5 = 6 sin (x)

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

Solution steps

1.5 = 6 sin (x)

Switch sides

6 sin (x) = 1.5

Divide both sides by

6

sin (x) = 0.25

Apply trig inverse properties

x = arcsin (0.25) + 2 πn, x = π - arcsin (0.25) + 2 πn

Show solutions in decimal form

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

\frac{2 sin ( x ) - 1}{3 \cdot cos ( x )} = 0

tan (θ) = \frac{34400}{254}

2 sin (x) = - 1, - π \leq x \leq π

cot (- \frac{π}{5}) - sec (x) = 1.5

\frac{1}{cos ^{2} ( x )} + (\frac{1}{2 cos ( x )}) = 0

What is the general solution for 1.5=6sin(x) ?
The general solution for 1.5=6sin(x) is x=0.25268…+2pin,x=pi-0.25268…+2pin