Test: Trigonometric equations I - Normal

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Question 1:   Solve the equation  cos2x=− 1 2   .
x=± π 3 +πn
x=± π 6 +2πn
x=± 2π 3 +πn
x=± π 6 +πn
Question 2:   Solve the equations  sin x− π 6 =− 2 2   .
x= −1 n+1 × π 4 − π 6 +πn, n∈Z
x= −1 n+1 × π 4 + π 6 +πn, n∈Z
x= −1 n × π 4 + π 6 +πn, n∈Z
x= −1 n+1 × π 4 − π 6 +2πn, n∈Z
Question 3:   Solve the equation  tg − 2x 3 =− 3   .
x= π 3 + 3πn 2 , n∈Z
x= π 2 + 3πn 2 , n∈Z
x= π 4 + 3πn 2 , n∈Z
x= π 2 +πn, n∈Z
Question 4:   Solve the equation  ctg6x=0  .
x= π 6 + πn 6 , n∈Z
x= π 12 + πn 12 , n∈Z
x= π 12 +πn, n∈Z
x= π 12 + πn 6 , n∈Z
Question 5:   Solve the expression  sin arcsin π 3   .
3 2
π 6
1 2
π 3
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