What is the general solution for 4sin(x)+3=5 ?

The general solution for 4sin(x)+3=5 is x= pi/6+2pin,x=(5pi)/6+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4sin(x)+3=5

4 sin (x) + 3 = 5

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Degrees

x = 3 0^{\circ} + 36 0^{\circ} n, x = 15 0^{\circ} + 36 0^{\circ} n

Solution steps

4 sin (x) + 3 = 5

Move

3

to the right side

4 sin (x) + 3 = 5

Subtract

3

from both sides

4 sin (x) + 3 - 3 = 5 - 3

Simplify

4 sin (x) = 2

4 sin (x) = 2

Divide both sides by

4

4 sin (x) = 2

Divide both sides by

4

\frac{4 sin ( x )}{4} = \frac{2}{4}

Simplify

sin (x) = \frac{1}{2}

sin (x) = \frac{1}{2}

General solutions for

sin (x) = \frac{1}{2}

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

tan (θ) = \frac{3}{3}

cos (x) = - \frac{24}{25}

cos (2 x) = \frac{3}{2}, 0 \leq x < 2 π

cos (θ) = - 4

sin (A) = \frac{1}{2}

What is the general solution for 4sin(x)+3=5 ?
The general solution for 4sin(x)+3=5 is x= pi/6+2pin,x=(5pi)/6+2pin