What is the general solution for 5sin^2(x)=-11sin(x)-6 ?

The general solution for 5sin^2(x)=-11sin(x)-6 is x=(3pi)/2+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5sin^2(x)=-11sin(x)-6

5 sin^{2} (x) = - 11 sin (x) - 6

x = \frac{3 π}{2} + 2 πn

Solution steps

5 sin^{2} (x) = - 11 sin (x) - 6

Solve by substitution

sin (x) = - 1, sin (x) = - \frac{6}{5}

sin (x) = - 1 : x = \frac{3 π}{2} + 2 πn

sin (x) = - \frac{6}{5} :

No Solution

Combine all the solutions

x = \frac{3 π}{2} + 2 πn

6 sin (x) - 2 cos (x) = 7

csc^{2} (x) + 4 csc (x) - 5 = 0

90 + 45 cos (\frac{t ^{2}}{18}) - 100 = 0

3 tan^{3} (x) + 3 tan^{2} (x) - tan (x) - 1 = 0

8 sin (x) = 4 cos^{2} (x) - 7

What is the general solution for 5sin^2(x)=-11sin(x)-6 ?
The general solution for 5sin^2(x)=-11sin(x)-6 is x=(3pi)/2+2pin