Trigonometry JEE Mains Questions - List Of Most Asked Questions With Solutions

NTA will shortly release the JEE Main Syllabus 2025 at jeemain.nta.ac.in. Last Year, the complete syllabus of JEE Main underwent some major changes. According to the latest syllabus guidelines, the weightage of Maths has dropped to 22.5%. Due to these changes in the syllabus, certain shifts in chapter-wise weightage have been observed. Trigonometry are among such topics. It’s among the least weightage topics in JEE Main Maths Syllabus 2025. This chapter holds 1.39% weightage in the whole syllabus.

• Trigonometry is a part of the General Maths section, and every year around 2-3 questions are asked from this chapter. Due to the drop in weightage, you can expect 1-2 questions in JEE Main 2025.
• Trigonometry in JEE Mains Maths Syllabus 2025 covers all the basic concepts on units and measurements, fundamentals of units, dimensions etc.

Aspirants consider Trigonometry as one of the Easiest Chapters in Maths for JEE Main 2025. Even though this chapter has the least weightage in the syllabus, to develop a strong foundation in physics, this particular chapter plays a pivotal role. Hence the candidates need to develop a clear understanding of this chapter. The list of most asked questions from this chapter will help the students with their preparation.

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Some common trigonometry questions for the JEE Main include:

• Proving that (sin α + cos α) (tan α + cot α) = sec α + cosec α
• Showing that ∠A = ∠B if ∠A and ∠B are acute angles such that cos A = cos B
• Proving that tan θ + cot θ = 1 if sin θ + cos θ = √3
• Evaluating 2 tan245° + cos230° – sin260°

Here are some tips for preparing for the trigonometry section of the JEE Main:

• Practice: Solve a variety of questions to strengthen your trigonometry skills and problem-solving abilities.
• Learn from explanations: Look for resources that provide detailed answers and explanations for each question.
• Manage your time: Practice can help you learn how to manage your time better.

Trigonometry is a branch of mathematics that deals with the relationship between the side lengths and angles of triangles. Some important angles in trigonometry are 0°, 30°, 45°, 60°, 90°, 180°, 270°, and 360°. The six most important trigonometric functions are sine, cosine, tangent, cosecant, secant, and cotangent.

Trigonometry JEE Mains Questions -

List Of Most Asked Questions With Solutions

In the (JEE) Main, the topic of Physics and Measurement often features questions that have appeared multiple times in previous years. Many questions in this section are either repeated or follow similar patterns, with only minor changes, such as different numerical values or slight modifications in wording.Certain questions have been repeated as many as five times.

Here are some of the most frequently asked and repeated questions:

Question 1:

If sinθ + cosθ = 1, then the value of sin²θ + cos²θ is?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) 1
• B) 0
• C) 2
• D) None of these

Solution:

We know that sin²θ + cos²θ = 1 (Pythagorean identity).

Correct answer: A

Question 2:

The general solution of sinx = 0 is?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) nπ
• B) (2n+1)π/2
• C) nπ + (-1)ⁿ
• D) None of these

Solution:

The general solution for sinx = 0 is x = nπ, where n is an integer.

Correct answer: A

Question 3:

What is the value of tan(45°)?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) 1
• B) √3
• C) 0
• D) -1

Solution:

tan(45°) = 1.

Correct answer: A

Question 4:

If sinA = 1/2 and A is an acute angle, then the value of A is?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) 30°
• B) 45°
• C) 60°
• D) 90°

Solution:

If sinA = 1/2, A = 30°.

Correct answer: A

Question 5:

What is the value of sin(90° - θ)?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) cosθ
• B) sinθ
• C) tanθ
• D) None of these

Solution:

sin(90° - θ) = cosθ.

Correct answer: A

Question 6:

What is the period of the function sin(x)?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) 2π
• B) π
• C) 4π
• D) None of these

Solution:

The period of sin(x) is 2π.

Correct answer: A

Question 7:

The value of cos(60°) is?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) 1
• B) 1/2
• C) √3/2
• D) 0

Solution:

cos(60°) = 1/2.

Correct answer: B

Question 8:

The general solution of tanθ = 0 is?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) nπ
• B) (2n+1)π
• C) nπ/2
• D) None of these

Solution:

The general solution for tanθ = 0 is θ = nπ, where n is an integer.

Correct answer: A

Question 9:

If cosA = 0, the value of A is?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) nπ/2
• B) (2n+1)π/2
• C) nπ
• D) 2nπ

Solution:

If cosA = 0, A = (2n+1)π/2.

Correct answer: B

Question 10:

The value of sin(30°) is?

(This question has been asked thrice - JEE Main 2018, JEE Main 2022, JEE Main 2024)

Options:

• A) 1
• B) 1/2
• C) √3/2
• D) 0

Solution:

sin(30°) = 1/2.

Correct answer: B