What is the general solution for sin(x)= 8/10 ?

The general solution for sin(x)= 8/10 is x=0.92729…+2pin,x=pi-0.92729…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 8/10

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

x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

Degrees

x = 53.13010 \dots^{\circ} + 36 0^{\circ} n, x = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

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

Cancel the common factor:

2

sin (x) = \frac{4}{5}

Apply trig inverse properties

sin (x) = \frac{4}{5}

General solutions for

sin (x) = \frac{4}{5}

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

x = arcsin (\frac{4}{5}) + 2 πn, x = π - arcsin (\frac{4}{5}) + 2 πn

x = arcsin (\frac{4}{5}) + 2 πn, x = π - arcsin (\frac{4}{5}) + 2 πn

Show solutions in decimal form

x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

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

7 cos (5 x) + 9 = 12

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

3 cot (2 x) = - 1

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

What is the general solution for sin(x)= 8/10 ?
The general solution for sin(x)= 8/10 is x=0.92729…+2pin,x=pi-0.92729…+2pin