What is the general solution for sin(a)= 1/3 ?

The general solution for sin(a)= 1/3 is a=0.33983…+2pin,a=pi-0.33983…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(a)= 1/3

sin (a) = \frac{1}{3}

a = 0.33983 \dots + 2 πn, a = π - 0.33983 \dots + 2 πn

Solution steps

sin (a) = \frac{1}{3}

Apply trig inverse properties

a = arcsin (\frac{1}{3}) + 2 πn, a = π - arcsin (\frac{1}{3}) + 2 πn

Show solutions in decimal form

a = 0.33983 \dots + 2 πn, a = π - 0.33983 \dots + 2 πn

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

2 cos (2 x) - 4 sin (x) + 1 = 0

2 cos (x) - 2 sin (x) = 6

2 sin^{2} (θ) + 5 sin (θ) = 3

- 4 tan^{2} (θ) - 9 tan (θ) - 2 = 0

What is the general solution for sin(a)= 1/3 ?
The general solution for sin(a)= 1/3 is a=0.33983…+2pin,a=pi-0.33983…+2pin