NCERT/Class 11/Mathematics/Trigonometric Functions

Trigonometric Functions

Class 11 · Mathematics

92 questions39 easy35 medium18 hard

Sample Questions

Q1.The value of 2 cos A cos B is equal to:

  • Asin(A+B) + sin(A–B)
  • Bcos(A+B) + cos(A–B)
  • Ccos(A–B) – cos(A+B)
  • Dsin(A–B) – sin(A+B)

Q2.Solve: 2 sin²θ – sin θ – 1 = 0 for 0 ≤ θ < 2π. The solutions are:

  • Aπ/6, 5π/6, 3π/2
  • Bπ/2, 7π/6, 11π/6
  • Cπ/6, π/2, 5π/6
  • Dπ/2, 3π/2, π/6

Q3.What is the value of cos 60°?

  • A√3/2
  • B1/2
  • C0
  • D1

Q4.What is cos(π – θ) equal to?

  • Acos θ
  • B–cos θ
  • Csin θ
  • D–sin θ

Q5.Prove that: tan 3A – tan 2A – tan A = tan 3A tan 2A tan A. This identity holds because:

  • A3A = 2A + A, so tan 3A = tan(2A+A)
  • Btan is periodic with period π
  • C3A = A + A + A
  • Dtan 3A = 3 tan A

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Allied anglesAngles and their measurementDegree and radian measureMultiple and sub-multiple anglesPrincipal and general solutionsSigns of trigonometric functionsSum and difference formulasTrigonometric functionsTrigonometric identitiesValues of trigonometric functions

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