What is the general solution for solvefor x,sin(x)=0.6 ?

The general solution for solvefor x,sin(x)=0.6 is x=0.64350…+2pin,x=pi-0.64350…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,sin(x)=0.6

solve for

x, sin (x) = 0.6

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.6

Apply trig inverse properties

sin (x) = 0.6

General solutions for

sin (x) = 0.6

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

x = arcsin (0.6) + 2 πn, x = π - arcsin (0.6) + 2 πn

x = arcsin (0.6) + 2 πn, x = π - arcsin (0.6) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

4 cos (2 t) = 4 sin^{2} (t) + 1

tan^{2} (θ) + 2 tan (θ) = - 1

cos (a) = \frac{2}{3}

- 1 = cos (π t)

2 tan^{2} (θ) = 6

What is the general solution for solvefor x,sin(x)=0.6 ?
The general solution for solvefor x,sin(x)=0.6 is x=0.64350…+2pin,x=pi-0.64350…+2pin