Start learning →

Karnataka PUC I Trigonometric Functions — practice questions — page 2

Explore 50 free Trigonometric Functions questions in Karnataka PUC I Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Trigonometric Functions with Quill →

Trigonometric Functions questions and exercises with answers

Showing questions 31–50 of 50.

The minute hand of a watch is 1.5 cm long. The distance the tip moves in 40 minutes is (use π = 3.14):Read the answer and worked solution →The radius of a circle where a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7) is:Read the answer and worked solution →If two arcs of equal length subtend angles of 65° and 110° at the centres of two circles, the ratio of the radii r₁ : r₂ is:Read the answer and worked solution →If cos x = -3/5 and x lies in the THIRD quadrant, then sin x equals:Read the answer and worked solution →If cot x = -5/12 and x lies in the SECOND quadrant, then sin x equals:Read the answer and worked solution →In which quadrant is tan x POSITIVE while sin x is NEGATIVE?Read the answer and worked solution →The DOMAIN of y = tan x is:Read the answer and worked solution →sin(2nπ + x) equals (for any integer n):Read the answer and worked solution →The RANGE of y = sec x is:Read the answer and worked solution →At which of the following x-values is cos x equal to zero?Read the answer and worked solution →The value of cos(-π/3) is:Read the answer and worked solution →6 radians converts to approximately:Read the answer and worked solution →An angle of $90^\circ$ in radians is:Read the answer and worked solution →The value of $\sin(\pi/4)$ is:Read the answer and worked solution →The identity $\sin 2A$ equals:Read the answer and worked solution →The fundamental Pythagorean identity in trigonometry is:Read the answer and worked solution →The general solution of sin θ = 1/2 is:Read the answer and worked solution →The principal value range of sin⁻¹(x) is:Read the answer and worked solution →In a triangle ABC, the Law of Sines states:Read the answer and worked solution →Match each trigonometric identity to its equivalent.Read the answer and worked solution →

Worked practice questions

The minute hand of a watch is 1.5 cm long. The distance the tip moves in 40 minutes is (use π = 3.14):

  1. 9.42 cm
  2. 3.14 cm
  3. 6.28 cm
  4. 1.57 cm
Show answer and solution

Correct answer: C. 6.28 cm

40 minutes = 2/3 of a revolution → θ = (2/3) × 2π = 4π/3 radians. Distance l = rθ = 1.5 × (4π/3) = 2π cm = 2 × 3.14 = 6.28 cm.

Open this question →

The radius of a circle where a central angle of 60° intercepts an arc of length 37.4 cm (use π = 22/7) is:

  1. 35.7 cm
  2. 17.85 cm
  3. 71.4 cm
  4. 11.9 cm
Show answer and solution

Correct answer: A. 35.7 cm

60° = π/3 radians. We have r = l/θ. That is r = 37.4/(π/3). That is r = 37.4 × 3/π. That is r = 37.4 × 3 × 7/22. So r = 35.7 cm.

Open this question →

If two arcs of equal length subtend angles of 65° and 110° at the centres of two circles, the ratio of the radii r₁ : r₂ is:

  1. 22 : 13
  2. 110 : 65
  3. 65 : 110
  4. 13 : 22
Show answer and solution

Correct answer: A. 22 : 13

For equal arcs, l = r₁θ₁ = r₂θ₂ → r₁/r₂ = θ₂/θ₁ = 110/65 = 22/13. So r₁ : r₂ = 22 : 13. (The larger angle requires a smaller radius for equal arc length.)

Open this question →

How to practise

  1. Choose a Trigonometric Functions question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Trigonometric Functions practice for Karnataka PUC I. Read explanations as you go. No signup form needed to start.

Practise Trigonometric Functions →

More Mathematics topics

Complex Numbers and Quadratic EquationsLimits and DerivativesLinear InequalitiesSequences and SeriesSets and RelationsStraight Lines and Conic SectionsStatistics and ProbabilityBinomial Theorem