Trigonometry Quiz - Questions with Solutions

Last Updated :
Discuss
Comments

Question 1

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

  • A

    3/2

  • B

    -3/2

  • C

    -2/3

  • D

    2/3

Question 2

Simplify cos(α)/(sin(α)+cot(α))
 

  • A

    sin(α)

  • B

    cos(α)

  • C

    1/sin(α)
    ​
     

  • D

    cos(α)/sin(α)
    ​
     

Question 3

Simplify (sin(α)−tan(α)) / cos(α)
​

  • A

    sin(α)

  • B

    cos(α)

  • C

    tan(α)

  • D

    cosec(α)

Question 4

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

  • A

    3π/4
    ​
     

  • B

    -π/4

  • C

    7π/4

  • D

    -π/4

Question 5

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

  • A

    √2/5

  • B

    √5/6

  • C

    √6/5

  • D

    √10/5

Question 6

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

  • A

    -√17/10
    ​

    ​
     

  • B

    √17/10

  • C

    4√17/10

  • D

    -4√17/10

Question 7

Solve for tan2(x) + 2sin(x) − 3 = 0.

  • A

    π/6
    ​
     

  • B

    5π/6
    ​
     

  • C

    π/3

  • D

    2π/3

Question 8

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

  • A

    4/5

  • B

    3/5

  • C

    -5/3

  • D

    -3/5

Question 9

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

  • A

    π/6
    ​
     

  • B

    5π/6

  • C

    π/3
    ​
     

  • D

    2π/3

Question 10

If cosec(θ)= − √3, find sin(θ).

  • A

    -1/2

  • B

    -√3/2

  • C

    1/2

  • D

    √3/2

There are 25 questions to complete.

Take a part in the ongoing discussion