Kerala Plus One Maths Chapter 3 Trigonometric Functions Important Questions PDF by PW

Preparing for Trigonometric Functions in Kerala Plus One Maths can be challenging when you understand the basic ratios but struggle to apply trigonometric identities, determine signs in different quadrants, or solve problems involving different angles. Practising important questions helps you identify the concepts you need to revise and apply the correct methods while solving problems.

Physics Wallah supports your preparation with important questions for Kerala Plus One Maths Chapter 3, Trigonometric Functions. You can use these questions to revise key concepts, practise calculations, strengthen your understanding of trigonometric identities, and improve your accuracy.

Kerala Plus One Maths Chapter 3 Trigonometric Functions Important Questions with Answers

Question 1: Convert 25° into radians.

Answer:

The conversion formula is:

Radians = Degrees × π/180°

Substituting 25°:

25° × π/180° = 25π/180

Simplifying,

5π/36 radians

Question 2: In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of the minor arc corresponding to the chord.

Answer:

Diameter of the circle = 40 cm

Radius:

r = 40/2 = 20 cm

Using the chord-length formula:

c = 2r sin(θ/2)

Substituting c = 20 cm and r = 20 cm:

20 = 2(20) sin(θ/2)

sin(θ/2) = 20/40 = 1/2

Therefore,

θ/2 = 30°

θ = 60° = π/3 radians

The arc-length formula is:

s = rθ

Substituting the values:

s = 20 × π/3

Hence, the length of the minor arc is:

20π/3 cm

Question 3: If tan x = 5/12 and x lies in the third quadrant, find the values of sin x and cos x.

Answer:

Given:

tan x = 5/12

Using the identity:

tan x = Opposite side / Adjacent side

Take the opposite side as 5 and the adjacent side as 12. By the Pythagorean theorem:

Hypotenuse = √(5² + 12²)

= √(25 + 144) = √169 = 13

In the third quadrant, both sine and cosine are negative.

Using the formula:

sin x = Opposite side / Hypotenuse

sin x = −5/13

Similarly,

cos x = Adjacent side / Hypotenuse

cos x = −12/13

Kerala Plus One Maths Chapter 3 Trigonometric Functions Important Questions PDF

Use the important questions PDF to test your knowledge of trigonometric identities, quadrant signs, and standard angle values. Practise solving the questions independently to identify concepts that need more revision.

How to Prepare for Kerala Plus One Maths Chapter 3 Trigonometric Functions with PW?

Preparing for Trigonometric Functions becomes easier when you understand the formulas, practise identity-based questions and revise concepts regularly. Follow these steps to prepare for Kerala Plus One Mathematics and build confidence in solving chapter-based problems.

1. Understand the Prescribed Syllabus

Start by reviewing the Kerala Plus One Maths syllabus to identify the topics covered in Trigonometric Functions. Focus on degree and radian measures, signs of trigonometric functions, trigonometric identities, compound angles and trigonometric equations. Track your progress against the prescribed syllabus to ensure complete revision.

2. Revise Important Formulas and Identities

Make a separate list of important trigonometric formulas and revise them regularly. Practise questions involving angle conversion, standard trigonometric values, sum and difference formulas, and double-angle identities. Work through identity proofs step by step to understand how different formulas can be applied.

3. Practise Important Questions

Solve important questions from Chapter 3 after revising each concept. Include numerical problems, multiple-choice questions and identity-based proofs. Check your solutions carefully, identify calculation errors and revisit the concepts that need more practice.

4. Practise with Mathematics Model Papers

Solve Kerala Plus One Mathematics model papers to practise questions from Trigonometric Functions alongside other chapters. Attempt the questions within the allotted time and review your answers afterwards. You can also use model papers to improve calculation accuracy and manage your time during the examination.

5. Make a Revision Plan Around the Examination

Review the Kerala Plus One timetable and divide your available study time between Mathematics and your other subjects. Use the school holiday list to revise formulas, solve additional questions and revisit difficult concepts. Keep your revision plan realistic so you can maintain regular practice without leaving other subjects behind.

Consistent revision and regular question practice can help you strengthen your understanding of Trigonometric Functions and prepare for the Kerala Plus One Mathematics examination. For additional learning support, Physics Wallah offers the Shakthi Plus One 2027 batch for Kerala Board Class 11 students, with Malayalam-medium learning resources, recorded lectures and practice material. You can use these resources alongside your textbook revision and important question practice to strengthen your preparation.