WBJEE 2025 Trigonometry Practice Questions with Solutions
WBJEE 2025 Trigonometry practice questions with solutions from important chapters, like Trigonometric Functions & Equations, Inverse Trigonometric Functions, and Properties of Triangles etc. have been shared here. Around 3-4 questions in the WBJEE 2025 Mathematics paper are expected from this chapter.
WBJEE 2025 Trigonometry practice questions: Trigonometry is an important chapter in Mathematics and covers a significant section of the WBJEE 2025 syllabus PDF. The chapter includes mainly three sections including Trigonometric Functions & Equations, Inverse Trigonometric Functions, and Properties of Triangle. In the upcoming WBJEE 2025 exam, the questions from this section can vary in difficulty ranging from moderate to tough. Solving WBJEE 2025 Trigonometry practice questions thoroughly becomes important knowing that the topic covers 3-4 questions and a weightage of around 4%. In this article, we will discuss the key topics from the also share some important WBJEE 2025 Trigonometry practice questions with solutions based on the analysis of the previous years' question papers .
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List of WBJEE 2025 Trigonometry Sub Topics for Exam Preparation
The following table features the complete list of Trigonometry sub topics included in the WBJEE 2025 Mathematics syllabus PDF. To score good marks and be able to attempt WBJEE 2025 Trigonometry practice questions from any part of the syllabus, we suggest you thoroughly study these topics and understand the fundamental concepts, theories and formulas.
Chapter | Sub Topics |
Trigonometry | Trigonometric functions |
Addition and subtraction formulae | |
Formulae involving multiple and submultiple angles | |
General solution of trigonometric equations | |
Properties of triangles | |
Inverse trigonometric functions and their properties |
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WBJEE 2025 Trigonometry Expected Weightage
The Trigonometry chapter features at least 4-5 questions every year. Since each correct answer is rewarded one or 2 marks, there's a chance of scoring 5-10 marks in this section alone. An understanding of the WBJEE Trigonometry expected marks weightage 2025 can help you figure out the probable number of questions that may be asked from this topic along with the maximum marks one can achieve by practising WBJEE 2025 Trigonometry sample questions. Take a look at the expected weightage of marks and questions from the Trigonometry topic in WBJEE exam 2025.
Topic | Expected Number of Questions | Expected Weightage |
Trigonometry | 3-4 | 4% |
WBJEE 2025 Trigonometry Practice Questions with Solutions
The WBJEE 2025 Trigonometry practice questions with solutions provide an insight into the WBJEE question paper. It serves as a useful resource when preparing for the WBJEE examination. These questions can be used for practicing the fundamentals of the chapter and assessing the knowledge and preparation level. In this section, we have listed some of the WBJEE 2025 Trigonometry practice questions that are frequently asked in the Paper I (Mathematics) and hence, must not be skipped.
Q1. The equation √3 Sinx + Cosx = 4 hasa. Infinitely many solutions
b. No solution
c. Two solutions
d. Only one solution
Ans. b. No solutionSolution:
√3/2 Sinx + 1/2Cosx = 2
Sinx Cos π/6 + Cos x.Sinπ/6 = 2
Sin [x + π/6] = 2
This is not possible because the value of sin x lies between –1 and 1, therefore, no solution
Q2. The principal value of sin-1tan [-5π/4] isa. π/4
b. – π/4
c. π/2
d. – π/2
Ans. d. – π/2Solution:
We need to find sin-1tan [-5π/4]
Step 1: Compute tan(-5π/4)
Since tan(x+π) = tan x, we rewrite:
tan(-5π/4) = tan 3π/4) = -1
Step 2: Compute sin-1 (-1)
We know:
sin-1(-1) = π/2
Final Answer:
-π/2
Q3. The value of cosπ/15 cos2π/15 cos 4π/15 cos 8π/15 isa. 1/16
b. – 1/16
c. 1
d. 0
Ans. b. – 1/16Solution:
Using the identity:
A well known identity for products of cosines states:
cosπ/15 cos2π/15 cos4π/15 cos8π/15 = 1/16
However, since one of the angles is in the second quadrant, the product becomes negative:
cosπ/15 cos2π/15 cos4π/15 cos8π/15 = -1/16
Final answer:
-1/16
Q4. The value of tan–1[sin2-1/cos2] is
a. π/2–1
b. 1–π/4
c. 2–π/2
d. π/4–1
Ans. b. 1–π/4Q5. The solution set of the inequation cos–1x < sin–1x is
a. [-1,1]
b. [1/√2,1]
c. [0,1]
d. (1/√2,1]
Ans. (1/√2,1]Q6. If a = 2√2, b = 6, A = 45°, then
a. No triangle is possible
b. One triangle is possible
c. Two triangles are possible
d. Either no triangles or two triangles are possible
Ans. a. No triangle is possibleQ7. In triangle ABC, if sin A sin B = ab/c2, then the triangle is
a. Equilateral
b. Isosceles
c. Right angled
d. Obtuse angled
Ans. c. Right angledSolution:
Step 1: Using the Since rule:
sin A = a/c, sin B = b/c
Multiplying both:
sinA sinB = a(a/c)(b/c) = ab/c2
This matches the given equation, which means that the equation holds for all values of A and B.
Step 2: Identifying the Triangle type:
The equation is always true when C = 90°
Thus, the triable is right - angled.
Q8. In a triangle PQR, ∠R = π/2. If tan (P/2) and tan (Q/2) are roots of ax2 + bx + c = 0, where a ≠ 0, then which one is true
a. c = a + b
b. a = b + c
c. b = a + c
d. b = c
Ans. a. c = a + bQ9. If in a triangle ABC, sin A, sin B and sin C are in A.P., then
a. The altitudes are in A.P.
b. The altitudes are in H.P
c. The angles are in A.P.
d. The angles are in H.P.
Ans. b. The altitudes are in H.P.Solution:
We are given that sin A, sin B, sin C are in A.P.
Step 1: Use A.P. Condition
Since they are in arithmetic progression:
2sinB = sinA + sin C
Using the sine rule in a triable:
sin A = a/2R, sin B = b/2R, sin C = c/2R
Substituting in A.P. condition:
2.b/2R = a/2R + c/2R
2b = a+c
which is the condition for the altitudes ha, hb, hc being in harmonic progression (H.P.)
Final answer: The altitudes are in H.P.
Q10. Let p, q, and r be the altitudes of a triangle with area S and perimeter 2t. Then, the value of 1/p + 1/q + 1/r is
a. S/t
b. t/S
c. S/2t
d. 2S/t
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To further ace your exam preparation, don't forget to attempt the WBJEE 2025 mock test on the Trigonometry chapter. Once you are done solving WBJEE 2025 practice questions, it will be easier for you to attempt the mock test series. You may even find some topics or questions from the WBJEE sample papers common in the mock test papers. Practice these questions diligently to improve your overall score in the WBJEE exam 2025.
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FAQs
Where can I get Trigonometry practice questions for WBJEE 2025?
Trigonometry practice questions are available online and can be accessed from the article above.
What is the weightage of Trigonometry in the WBJEE 2025 exam?
The weightage of Trigonometry in the WBJEE 2025 is around 4%.
What topics from Trigonometry should I prepare for the WBJEE 2025 exam?
Trigonometric Functions & Equations, Inverse Trigonometric Functions, and Properties of Triangle are the most important topics in the Trigonometry syllabus.
Where can I check the Trigonometry topics for WBJEE 2025?
Detailed WBJEE 2025 topics are provided in the WBJEE 2025 mathematics syllabus.
How many questions are there from Trigonometry in WBJEE 2025?
Trigonometry features around 3-4 questions in the WBJEE 2025 exam.
Is Trigonometry an important topic for WBJEE 2025?
Yes, Trigonometry covers a significant portion of the WBJEE syllabus and therefore, is an important topic in the WBJEE 2025 exam.