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Popular >

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

Solution

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

Solution

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

+1

Solution steps

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

Solve by substitution

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

sin (x) = 1 : x = \frac{π}{2} + 2 πn

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

Combine all the solutions

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

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-pi/(30)sin(pi/(90)(x+20))=0

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Frequently Asked Questions (FAQ)

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