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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin^2(x)+2=3sin(x)

sin^{2} (x) + 2 = 3 sin (x)

x = \frac{π}{2} + 2 πn

Solution steps

sin^{2} (x) + 2 = 3 sin (x)

Solve by substitution

sin (x) = 2, sin (x) = 1

sin (x) = 2 :

No Solution

sin (x) = 1 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{2} + 2 πn

sin (x + \frac{π}{3}) = \frac{1}{2} cos (x - \frac{π}{6})

\frac{2 sec ^{2} ( x ) - 1}{sec ^{2} ( x )} = sec^{2} (x)

9 (sin (x) - 0.6 π) + 8 = 0

t, v = 100 cos (50 t + 2 0^{\circ}) v

cos (2 x) = sin (\frac{π}{2} - x)

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