What is the general solution for sin(x)= 15/23 ?

The general solution for sin(x)= 15/23 is x=0.71044…+2pin,x=pi-0.71044…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(x)= 15/23

sin (x) = \frac{15}{23}

x = 0.71044 \dots + 2 πn, x = π - 0.71044 \dots + 2 πn

Degrees

x = 40.70570 \dots^{\circ} + 36 0^{\circ} n, x = 139.29429 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{15}{23}

Apply trig inverse properties

sin (x) = \frac{15}{23}

General solutions for

sin (x) = \frac{15}{23}

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

x = arcsin (\frac{15}{23}) + 2 πn, x = π - arcsin (\frac{15}{23}) + 2 πn

x = arcsin (\frac{15}{23}) + 2 πn, x = π - arcsin (\frac{15}{23}) + 2 πn

Show solutions in decimal form

x = 0.71044 \dots + 2 πn, x = π - 0.71044 \dots + 2 πn

What is the general solution for sin(x)= 15/23 ?
The general solution for sin(x)= 15/23 is x=0.71044…+2pin,x=pi-0.71044…+2pin