What is the general solution for 4cos^2(x)-11cos(x)+7=0 ?

The general solution for 4cos^2(x)-11cos(x)+7=0 is x=2pin

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4cos^2(x)-11cos(x)+7=0

4 cos^{2} (x) - 11 cos (x) + 7 = 0

x = 2 πn

Solution steps

4 cos^{2} (x) - 11 cos (x) + 7 = 0

Solve by substitution

cos (x) = \frac{7}{4}, cos (x) = 1

cos (x) = \frac{7}{4} :

No Solution

cos (x) = 1 : x = 2 πn

Combine all the solutions

x = 2 πn

3 tan (x) + 2 sec (x) = 1

cos (a) = 0.14

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

7 sin (a) = \frac{1}{11}

tan (x) = 2, x + y = 135

What is the general solution for 4cos^2(x)-11cos(x)+7=0 ?
The general solution for 4cos^2(x)-11cos(x)+7=0 is x=2pin