What is the general solution for sin(x)=0.2 ?

The general solution for sin(x)=0.2 is x=0.20135…+2pin,x=pi-0.20135…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)=0.2

sin (x) = 0.2

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

Degrees

x = 11.53695 \dots^{\circ} + 36 0^{\circ} n, x = 168.46304 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.2

Apply trig inverse properties

sin (x) = 0.2

General solutions for

sin (x) = 0.2

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

x = arcsin (0.2) + 2 πn, x = π - arcsin (0.2) + 2 πn

x = arcsin (0.2) + 2 πn, x = π - arcsin (0.2) + 2 πn

Show solutions in decimal form

x = 0.20135 \dots + 2 πn, x = π - 0.20135 \dots + 2 πn

cos (z) = 0

sin^{2} (x) - 4 sin (x) - 5 = 0

sin^{2} (x) = 1 + cos (x)

sec^{2} (θ) - 4 = 0

2 sin^{2} (x) + sin (x) - 1 = 0, 0 < x < π

What is the general solution for sin(x)=0.2 ?
The general solution for sin(x)=0.2 is x=0.20135…+2pin,x=pi-0.20135…+2pin