What is the general solution for sin(a)= 5/9 ?

The general solution for sin(a)= 5/9 is a=0.58903…+2pin,a=pi-0.58903…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(a)= 5/9

sin (a) = \frac{5}{9}

a = 0.58903 \dots + 2 πn, a = π - 0.58903 \dots + 2 πn

Degrees

a = 33.74898 \dots^{\circ} + 36 0^{\circ} n, a = 146.25101 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{5}{9}

Apply trig inverse properties

sin (a) = \frac{5}{9}

General solutions for

sin (a) = \frac{5}{9}

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

a = arcsin (\frac{5}{9}) + 2 πn, a = π - arcsin (\frac{5}{9}) + 2 πn

a = arcsin (\frac{5}{9}) + 2 πn, a = π - arcsin (\frac{5}{9}) + 2 πn

Show solutions in decimal form

a = 0.58903 \dots + 2 πn, a = π - 0.58903 \dots + 2 πn

What is the general solution for sin(a)= 5/9 ?
The general solution for sin(a)= 5/9 is a=0.58903…+2pin,a=pi-0.58903…+2pin