SOLUTION: (a) Solve the equation on the given interval, expressing the solution for x in terms of inverse trigonometric functions. (Enter your answers as a comma-separated list.) 3(cos x)2

Algebra ->  Trigonometry-basics -> SOLUTION: (a) Solve the equation on the given interval, expressing the solution for x in terms of inverse trigonometric functions. (Enter your answers as a comma-separated list.) 3(cos x)2       Log On


   



Question 655459: (a) Solve the equation on the given interval, expressing the solution for x in terms of inverse trigonometric functions. (Enter your answers as a comma-separated list.)
3(cos x)2 − 2 cos x − 1 = 0 on [π/2, π]

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(a) Solve the equation on the given interval, expressing the solution for x in terms of inverse trigonometric functions. (Enter your answers as a comma-separated list.)
3(cos x)2 − 2 cos x − 1 = 0 on [π/2, π]
**
3cos^2(x)−2cos(x)−1 = 0
(3cos(x)+1)(cos(x)-1)=0
..
3cos(x)+1=0
cos(x)=-1
arccos(-1)=π
..
cos(x)-1=0
cos(x)=1
arccos(1)=0 (no solution, not in domain)
..
x=π