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Popular >

2/(1+sin(x))=3-2sin(x)

Solution

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

Solution

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn, x = \frac{π}{2} + 2 πn

+1

Solution steps

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

Solve by substitution

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

sin (x) = - \frac{1}{2} : x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

sin (x) = 1 : x = \frac{π}{2} + 2 πn

Combine all the solutions

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn, x = \frac{π}{2} + 2 πn

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cos (3 x) = \frac{1}{5}

cos^2(x)-5cos(x)+6=0

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cot^2(x/2)=3,0,0<= x<= 360

cot^{2} (\frac{x}{2}) = 3, 0, 0 \leq x \leq 360

Frequently Asked Questions (FAQ)

What is the general solution for 2/(1+sin(x))=3-2sin(x) ?
The general solution for 2/(1+sin(x))=3-2sin(x) is x=(7pi)/6+2pin,x=(11pi)/6+2pin,x= pi/2+2pin