What is the general solution for -cos(A)-11=2cos(A)-9 ?

The general solution for -cos(A)-11=2cos(A)-9 is A=2.30052…+2pin,A=-2.30052…+2pin

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-cos(A)-11=2cos(A)-9

- cos (A) - 11 = 2 cos (A) - 9

A = 2.30052 \dots + 2 πn, A = - 2.30052 \dots + 2 πn

Solution steps

- cos (A) - 11 = 2 cos (A) - 9

Solve by substitution

cos (A) = - \frac{2}{3}

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

Combine all the solutions

A = arccos (- \frac{2}{3}) + 2 πn, A = - arccos (- \frac{2}{3}) + 2 πn

Show solutions in decimal form

A = 2.30052 \dots + 2 πn, A = - 2.30052 \dots + 2 πn

sin (θ - \frac{π}{3}) - 1 = 0

cos (5 x) = \frac{1}{2}

sin (θ) = \frac{3}{5} cos (θ)

cos (\frac{x}{3}) = 0

sin (a) = \frac{5}{6}

What is the general solution for -cos(A)-11=2cos(A)-9 ?
The general solution for -cos(A)-11=2cos(A)-9 is A=2.30052…+2pin,A=-2.30052…+2pin