Trigonometry JEE Questions: Trigonometry is a significantly scoring and important chapter in the Mathematics JEE Main syllabus. An average of 2-5 trigonometry questions are asked in JEE Mains every year. And with the help of these questions, it has emerged as one of the most scoring chapters in the exam. Trigonometry has a nearly 7% weightage in JEE Advanced and for this reason, the chapter is not only scoring but mandatory to study.

Trigonometry can be helpful for you in a lot of other questions of different parts of Maths like Calculus and Geometry. With a strong base in Trigonometry, you will be more confident while solving many different types of problems of JEE. That is why it becomes necessary for you to master this topic if you are preparing for JEE Mains and JEE Advanced seriously.

Trigonometry JEE Questions Overview

The trigonometry JEE questions are prepared based only on the JEE syllabus. Physics Wallah (PW) has gone through the syllabus in detail and also gone through many JEE Main previous year question papers. PW has analyzed the JEE exam pattern of questions and created a treasure of trigonometry questions for you.

Each question is created either on a direct concept or a tricky application that frequently shows up in the actual exam. With regular practice, you will be able to understand how many times trigonometry formulas and questions get repeated in the JEE with a different pattern. 

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Practice Important Trigonometry JEE Questions

Here are the most important types of trigonometry questions you should practice. These follow the same pattern as in JEE exams.

Single Correct Type Questions

1. If tan(π/4 + y/2) = tan³(π/4 + x/2), then
sin x (3 + sin²x) / (1 + 3 sin²x) equals

1. cos y

2. sin y

3. sin 2y

4.  0

2. If x = sin(2π/7) + sin(4π/7) + sin(8π/7) and
y = cos(2π/7) + cos(4π/7) + cos(8π/7), then x² + y² =

1. 1

2. 2

3. 3

4. 4

3. If (sin³θ − cos³θ) / (sinθ − cosθ) × cosθ / √(1 + cot²θ) − 2 tanθ cotθ = −1,
θ ∈ (0, 2π), then

1.  θ ∈ [0, π/2) ∪ [π/4]

2.  θ ∈ [π/2, π] ∪ [3π/4]

3.  θ ∈ [3π/2, π] ∪ [5π/4]

4. θ ∈ (0, π) − {π/4, π/2}
   
   

4. If log₂(cos(sin(x−1))) = cosx then solution set of x is:

1. {x : x = (4n + 1)π/2, n ∈ I}

2. {x : x = (2n + 1)π/2, n ∈ I}

3. {x : x = nπ, n ∈ I}

4. {x : x = nπ + π/4, n ∈ I}
   
   

5. If a sin²x + b cos²x = c, b sin²y + a cos²y = d and
a tanx = b tany, then a²/b² =

1.  (a − d)(c − a) / (b − c)(d − b)

2. (a + d)(c + a) / (b + d)(d + b)

3.  (a − d)(b − a) / (a − c)(c − b)

4.  (b − a)(c − a) / (b − c)(d − b)

6. If cos³x sin2x = ∑(n to r=0) aₙ sin(rx), ∀ x ∈ R, then

1. n = 5, a₁ = ½

2.  n = 5, a₁ = ¼

3.  n = 5, a₂ = ⅛

4.  n = 5, a₂ = 1/4

7. If cosθ = (a cosϕ + b) / (a + b cosϕ), then tan(θ/2) is equal to

1. √(a − b / a + b) tan(ϕ/2)

2.  √(a + b / a − b) cos(ϕ/2)

3. √(a − b / a + b) sin(ϕ/2)

4. None of these

8. If in a triangle ABC, cos 3A + cos 3B + cos 3C = −1, then one angle must be exactly equal to

1.  π/3

2. 2π/3

3. Π

4. π/6

9. The value of ∑(r = 0 to 10) cos³(3πr/3) is equal to

1. −9/2

2. −7/2

3.  −9/8

4. −1/8

• Watch Trigonometry Question Practice Video on YT

Trigonometry JEE Questions PDF with Explanation

Physics Wallah provides the complete PDF on Trigonometry JEE Questions. This PDF covers all types of questions that you need to practice for JEE Main and JEE Advanced. Each question in this PDF is provided with a complete solution so that the students can learn every step. The PDF is prepared by going through the previous year's JEE papers. The answers are provided in the simplest steps possible, and each formula used in the solution is also explained.