WBJEE 2025 Trigonometry Practice Questions with Solutions

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.

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.

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 has

a. Infinitely many solutions

b. No solution

c. Two solutions

d. Only one solution

Ans. b. No solution

Solution:

√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 ^-1 tan [-5π/4] is

a.  π/4

b. – π/4

c. π/2

d. – π/2

Ans. d. – π/2

Solution:
We need to find sin ^-1 tan [-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 is

a. 1/16

b. – 1/16

c. 1

d. 0

Ans. b. – 1/16
Solution:
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/4

Q5. The solution set of the inequation cos ^–1 x < sin ^–1 x 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 possible

Q7. In triangle ABC, if sin A sin B = ab/c ² , then the triangle is

a. Equilateral

b. Isosceles

c. Right angled

d. Obtuse angled

Ans. c. Right angled
Solution:
Step 1: Using the Since rule:
sin A = a/c, sin B = b/c
Multiplying both:
sinA sinB = a(a/c)(b/c) = ab/c ²
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 ax ² + 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 + b

Q9. 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 h _a , h _b , h _c 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

Ans. b. t/S

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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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