What is the general solution for sin(x)= 3/10 ?

The general solution for sin(x)= 3/10 is x=0.30469…+2pin,x=pi-0.30469…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 3/10

sin (x) = \frac{3}{10}

x = 0.30469 \dots + 2 πn, x = π - 0.30469 \dots + 2 πn

Degrees

x = 17.45760 \dots^{\circ} + 36 0^{\circ} n, x = 162.54239 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{3}{10}

Apply trig inverse properties

sin (x) = \frac{3}{10}

General solutions for

sin (x) = \frac{3}{10}

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

x = arcsin (\frac{3}{10}) + 2 πn, x = π - arcsin (\frac{3}{10}) + 2 πn

x = arcsin (\frac{3}{10}) + 2 πn, x = π - arcsin (\frac{3}{10}) + 2 πn

Show solutions in decimal form

x = 0.30469 \dots + 2 πn, x = π - 0.30469 \dots + 2 πn

9 csc^{2} (x) + 7 = 19

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

tan (x) = \frac{8}{12}

tan (x) = \frac{8}{10}

3 cot (x) - 1 = 0

What is the general solution for sin(x)= 3/10 ?
The general solution for sin(x)= 3/10 is x=0.30469…+2pin,x=pi-0.30469…+2pin