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Popular >

8cos^2(x)-12sin(x)-12=0

Solution

8 cos^{2} (x) - 12 sin (x) - 12 = 0

Solution

x = \frac{3 π}{2} + 2 πn, x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

+1

Solution steps

8 cos^{2} (x) - 12 sin (x) - 12 = 0

Rewrite using trig identities

- 4 - 12 sin (x) - 8 sin^{2} (x) = 0

Solve by substitution

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

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

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

Combine all the solutions

x = \frac{3 π}{2} + 2 πn, x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

Popular Examples

1 - cos (x) = 2

8sin^2(x)+6cos^2(x)=10

8 sin^{2} (x) + 6 cos^{2} (x) = 10

prove sin^2(90-b)+cos^2(b-450)=1 prove

sin^{2} (9 0^{\circ} - b) + cos^{2} (b - 45 0^{\circ}) = 1

cos^2(2x)+sin^2(x)=1

cos^{2} (2 x) + sin^{2} (x) = 1

cos^2(x)=(1-tan^2(x))/(sec^2(x))

cos^{2} (x) = \frac{1 - tan ^{2} ( x )}{sec ^{2} ( x )}

Frequently Asked Questions (FAQ)

What is the general solution for 8cos^2(x)-12sin(x)-12=0 ?
The general solution for 8cos^2(x)-12sin(x)-12=0 is x=(3pi)/2+2pin,x=(7pi)/6+2pin,x=(11pi)/6+2pin