What is the general solution for sin(o)= 3/5 ?

The general solution for sin(o)= 3/5 is o=0.64350…+2pin,o=pi-0.64350…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(o)= 3/5

sin (o) = \frac{3}{5}

o = 0.64350 \dots + 2 πn, o = π - 0.64350 \dots + 2 πn

Degrees

o = 36.86989 \dots^{\circ} + 36 0^{\circ} n, o = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (o) = \frac{3}{5}

Apply trig inverse properties

sin (o) = \frac{3}{5}

General solutions for

sin (o) = \frac{3}{5}

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

o = arcsin (\frac{3}{5}) + 2 πn, o = π - arcsin (\frac{3}{5}) + 2 πn

o = arcsin (\frac{3}{5}) + 2 πn, o = π - arcsin (\frac{3}{5}) + 2 πn

Show solutions in decimal form

o = 0.64350 \dots + 2 πn, o = π - 0.64350 \dots + 2 πn

What is the general solution for sin(o)= 3/5 ?
The general solution for sin(o)= 3/5 is o=0.64350…+2pin,o=pi-0.64350…+2pin