What is the general solution for sin(x)=(1.2)/(1.6) ?

The general solution for sin(x)=(1.2)/(1.6) is x=0.84806…+2pin,x=pi-0.84806…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(x)=(1.2)/(1.6)

sin (x) = \frac{1.2}{1.6}

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

Degrees

x = 48.59037 \dots^{\circ} + 36 0^{\circ} n, x = 131.40962 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{1.2}{1.6}

Apply trig inverse properties

sin (x) = \frac{1.2}{1.6}

General solutions for

sin (x) = \frac{1.2}{1.6}

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

x = arcsin (\frac{1.2}{1.6}) + 2 πn, x = π - arcsin (\frac{1.2}{1.6}) + 2 πn

x = arcsin (\frac{1.2}{1.6}) + 2 πn, x = π - arcsin (\frac{1.2}{1.6}) + 2 πn

Show solutions in decimal form

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

What is the general solution for sin(x)=(1.2)/(1.6) ?
The general solution for sin(x)=(1.2)/(1.6) is x=0.84806…+2pin,x=pi-0.84806…+2pin