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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1.5=6sin(x)

1.5 = 6 sin (x)

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

Degrees

x = 14.47751 \dots^{\circ} + 36 0^{\circ} n, x = 165.52248 \dots^{\circ} + 36 0^{\circ} n

Solution steps

1.5 = 6 sin (x)

Switch sides

6 sin (x) = 1.5

Divide both sides by

6

6 sin (x) = 1.5

Divide both sides by

6

\frac{6 sin ( x )}{6} = \frac{1.5}{6}

Simplify

sin (x) = 0.25

sin (x) = 0.25

Apply trig inverse properties

sin (x) = 0.25

General solutions for

sin (x) = 0.25

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

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

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