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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 5/9

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

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

Degrees

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

Solution steps

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

Apply trig inverse properties

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

General solutions for

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

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

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

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

Show solutions in decimal form

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

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

tan (3 x) = \frac{1}{3}

7 cot (x) - 3 = 4 cot (x)

cos (θ) + 2 cos^{2} (θ) = 1

sin (2 x) - 2 cos (x) = 0

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