What is the general solution for 3cos^2(x)-10cos(x)+3=0 ?

The general solution for 3cos^2(x)-10cos(x)+3=0 is x=1.23095…+2pin,x=2pi-1.23095…+2pin

Popular >

3cos^2(x)-10cos(x)+3=0

3 cos^{2} (x) - 10 cos (x) + 3 = 0

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

Solution steps

3 cos^{2} (x) - 10 cos (x) + 3 = 0

Solve by substitution

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

cos (x) = 3 :

No Solution

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

Combine all the solutions

x = arccos (\frac{1}{3}) + 2 πn, x = 2 π - arccos (\frac{1}{3}) + 2 πn

Show solutions in decimal form

x = 1.23095 \dots + 2 πn, x = 2 π - 1.23095 \dots + 2 πn

(m + 1) sin (x) + 2 - m = 0

sin^{5} (x) + sin (x) + 2 sin^{2} (x) = 1

(2 cos (x) - 1) \cdot (2 sin (x) + 1) = 3 - 4 sin^{2} (x)

r = \frac{2 a}{( 1 + cos ( x ) )}

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

What is the general solution for 3cos^2(x)-10cos(x)+3=0 ?
The general solution for 3cos^2(x)-10cos(x)+3=0 is x=1.23095…+2pin,x=2pi-1.23095…+2pin