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⇱ Quiz about Trigonometry Quiz - Questions with Solutions

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Question 1

If cos(ΞΈ)= βˆ’2/3 and tan(ΞΈ) < 0, find cot(ΞΈ).

  • 3/2

  • -3/2

  • -2/3

  • 2/3

Question 2

Simplify cos(Ξ±)/(sin(Ξ±)+cot(Ξ±))
 

  • sin(Ξ±)

  • cos(Ξ±)

  • 1/sin(Ξ±)
    ​
     

  • cos(Ξ±)/sin(Ξ±)
    ​
     

Question 3

Simplify (sin(Ξ±)βˆ’tan(Ξ±)) / cos(Ξ±)
​

  • sin(Ξ±)

  • cos(Ξ±)

  • tan(Ξ±)

  • cosec(Ξ±)

Question 4

Solve for x in the equation tan(x) + 2=0.

  • 3Ο€/4
    ​
     

  • -Ο€/4

  • 7Ο€/4

  • -Ο€/4

Question 5

If sin(x) = 4/5, find cos(x/2)

  • √2/5

  • √5/6

  • √6/5

  • √10/5

Question 6

If cos(A) = βˆ’ 1/2 and cot(B) = 4/5, find sin(A+B).

  • -√17/10
    ​

    ​
     

  • √17/10

  • 4√17/10

  • -4√17/10

Question 7

Solve for tan2(x) + 2sin(x) βˆ’ 3 = 0.

  • Ο€/6
    ​
     

  • 5Ο€/6
    ​
     

  • Ο€/3

  • 2Ο€/3

Question 8

If cot(Ο•)= βˆ’ 3/4 sin(Ο•)>0, find cos(Ο•).

  • 4/5

  • 3/5

  • -5/3

  • -3/5

Question 9

Solve for x in the equation tan2(x) + 2sin(x) βˆ’ 1 = 0.

  • Ο€/6
    ​
     

  • 5Ο€/6

  • Ο€/3
    ​
     

  • 2Ο€/3

Question 10

If cosec(ΞΈ)= βˆ’ √3, find sin(ΞΈ).

  • -1/2

  • -√3/2

  • 1/2

  • √3/2

There are 25 questions to complete.

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