What is the general solution for sin(t)+2=3 ?

The general solution for sin(t)+2=3 is t= pi/2+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(t)+2=3

sin (t) + 2 = 3

t = \frac{π}{2} + 2 πn

Degrees

t = 9 0^{\circ} + 36 0^{\circ} n

Solution steps

sin (t) + 2 = 3

Move

2

to the right side

sin (t) + 2 = 3

Subtract

2

from both sides

sin (t) + 2 - 2 = 3 - 2

Simplify

sin (t) = 1

sin (t) = 1

General solutions for

sin (t) = 1

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}

t = \frac{π}{2} + 2 πn

t = \frac{π}{2} + 2 πn

tan (3 θ) = - 1

1 + 2 sin (2 x) = 0

2 sech^{2} (x) + tanh (x) = 0

8 cos (2 θ) = - 24 cos (θ) - 16

16 cos^{2} (θ) - 9 = 0

What is the general solution for sin(t)+2=3 ?
The general solution for sin(t)+2=3 is t= pi/2+2pin