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Use an Addition or Subtraction Formula to Find the Solutions [0,π)[ 0 , \pi )

Question 1

Multiple Choice

Use an addition or subtraction formula to find the solutions of the equation that are in the interval [0,π) [ 0 , \pi ) . cos8tcos5t=sin8tsin5t\cos 8 t \cos 5 t = - \sin 8 t \sin 5 t


A) t=π6,t=π2,t=5π6t = \frac { \pi } { 6 } , t = \frac { \pi } { 2 } , t = \frac { 5 \pi } { 6 }
B) t=3π5,t=4π5t = \frac { 3 \pi } { 5 } , t = \frac { 4 \pi } { 5 }
C) t=π3,t=2π3t = \frac { \pi } { 3 } , t = \frac { 2 \pi } { 3 }
D) t=π8,t=3π8,t=5π8t = \frac { \pi } { 8 } , t = \frac { 3 \pi } { 8 } , t = \frac { 5 \pi } { 8 }
E) t=0,t=π3,t=2π3t = 0 , t = \frac { \pi } { 3 } , t = \frac { 2 \pi } { 3 }

Correct Answer:

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