Trigonometry Quiz - Questions with Solutions

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Question 1

If cos(θ)= −2/3 and tan(θ) < 0, find cot(θ).

  • 3/2

  • -3/2

  • -2/3

  • 2/3

Question 2

Simplify cos(α)/(sin(α)+cot(α))
 

  • sin(α)

  • cos(α)

  • 1/sin(α)
    ​
     

  • cos(α)/sin(α)
    ​
     

Question 3

Simplify (sin(α)−tan(α)) / cos(α)
​

  • sin(α)

  • cos(α)

  • tan(α)

  • cosec(α)

Question 4

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

  • 3π/4
    ​
     

  • -π/4

  • 7π/4

  • -π/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) = − 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) − 3 = 0.

  • π/6
    ​
     

  • 5π/6
    ​
     

  • π/3

  • 2π/3

Question 8

If cot(ϕ)= − 3/4 sin(ϕ)>0, find cos(ϕ).

  • 4/5

  • 3/5

  • -5/3

  • -3/5

Question 9

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

  • π/6
    ​
     

  • 5π/6

  • π/3
    ​
     

  • 2π/3

Question 10

If cosec(θ)= − √3, find sin(θ).

  • -1/2

  • -√3/2

  • 1/2

  • √3/2

There are 25 questions to complete.

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