What is the general solution for 4(1+sin(x))sin(x)=3 ?

The general solution for 4(1+sin(x))sin(x)=3 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 >

4(1+sin(x))sin(x)=3

4 (1 + sin (x)) sin (x) = 3

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

Solution steps

4 (1 + sin (x)) sin (x) = 3

Solve by substitution

sin (x) = \frac{1}{2}, sin (x) = - \frac{3}{2}

sin (x) = \frac{1}{2} : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

sin (x) = - \frac{3}{2} :

No Solution

Combine all the solutions

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

tan (x^{\circ}) = 0.57

3 sin (x) - 2 = 7 sin (x) - 3

5 5^{2} = 5 0^{2} + 9 0^{2} - 2 \cdot 50 \cdot 90 \cdot cos (x)

x, z = sin (2 x + y)

7 tan (x) = 23 + tan (x), 0^{\circ} \leq θ \leq 9 0^{\circ}

What is the general solution for 4(1+sin(x))sin(x)=3 ?
The general solution for 4(1+sin(x))sin(x)=3 is x= pi/6+2pin,x=(5pi)/6+2pin