What is the general solution for sin(a)= 2/3 ?

The general solution for sin(a)= 2/3 is a=0.72972…+2pin,a=pi-0.72972…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(a)= 2/3

sin (a) = \frac{2}{3}

a = 0.72972 \dots + 2 πn, a = π - 0.72972 \dots + 2 πn

Solution steps

sin (a) = \frac{2}{3}

Apply trig inverse properties

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

Show solutions in decimal form

a = 0.72972 \dots + 2 πn, a = π - 0.72972 \dots + 2 πn

2 sin (2 x) + 3 sin (x) = 0

sin (x) = - \frac{2}{5}

tan (2 x) = - 1.8

cos (2 x) + sin (2 x) = - 1

5 cot (x) + 3 = - 2

What is the general solution for sin(a)= 2/3 ?
The general solution for sin(a)= 2/3 is a=0.72972…+2pin,a=pi-0.72972…+2pin