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Popular >

solvefor x,2sin^2(x)+3cos(x)-3=0

Solution

solve for

x, 2 sin^{2} (x) + 3 cos (x) - 3 = 0

Solution

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn, x = 2 πn

+1

Solution steps

2 sin^{2} (x) + 3 cos (x) - 3 = 0

Rewrite using trig identities

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

Solve by substitution

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

cos (x) = \frac{1}{2} : x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = \frac{π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn, x = 2 πn

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Frequently Asked Questions (FAQ)

What is the general solution for solvefor x,2sin^2(x)+3cos(x)-3=0 ?
The general solution for solvefor x,2sin^2(x)+3cos(x)-3=0 is x= pi/3+2pin,x=(5pi)/3+2pin,x=2pin