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Trigonometry Questions

Practice 78 Trigonometry questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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78
Total Questions
🟢
3
Easy
🟡
71
Medium
🔴
4
Hard
Practice by Exam:Mathematics(47)Quantitative Aptitude(31)

About Trigonometry — practice questions, PYQs & concepts

Trigonometry is a frequently-tested topic on Mathematics, Quantitative Aptitude. ExamTest.live currently lists 78 Trigonometry questions spanning previous-year papers from 2004 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Trigonometry weight in competitive exams

Across our Trigonometry question bank, the largest sources are Mathematics (47) and Quantitative Aptitude (31). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 3 easy Trigonometry questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Trigonometry Questions(1–78 of 78)

Filter:
Q1mediummcqMathematicsMathematics Mock Test - 62026
13% accuracy
If , then is equal to:
Q2mediummcqMathematicsMathematics Mock Test - 62026
4% accuracy
The solution set of the equation is:
Q3hardmcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
14% accuracy
If , , then what is the value of ?
Q4mediummcqMathematicsMathematics Mock Test - 12026
0% accuracy
The function increases monotonically if:
Q5mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
The value of so that decreases for all real values of is given by:
Q6mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
A line makes an angle , , with the , , and axes respectively. Then the value of is:
Q7mediummcqMathematicsMathematics Mock Test - 102026
9% accuracy
The value of is:
Q8mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
is equal to:
Q9mediummcqMathematicsMathematics Mock Test - 102026
27% accuracy
For , the value of is:
Q10mediummcqMathematicsMathematics Mock Test - 102026
18% accuracy
The maximum value of in the interval occurs at :
Q11mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If , then the value of is:
Q12mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Find the value of .
Q13mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
If , then the value of is:
Q14mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The sides of a right-angled triangle, right-angled at B, are 6, 8 and 10 units. C is the vertex opposite to the side with length 8 units. What is the value of tan
2
A+cos
2
C?
Q15easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
If μ=60
∘
, then sinμ+cos(90
∘
−μ)=
Q16mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
The value of is:
Q17mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
If sinθ+cscθ=5, then the value of sin
3
θ+csc
3
θ is:
Q18mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
If cos2θ=0, where θ is an acute angle, then find the value of sin(75
∘
−θ).
Q19mediummcqQuantitative AptitudePrepp2026
0% accuracy
If , then find the value of .
Q20mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Evaluate:
Q21mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
If and are two angles of a triangle, then what is the third angle?
Q22mediummcqQuantitative AptitudePrepp2026
0% accuracy
Simplify the following expression:
Q23mediummcqMathematicsMathematics Mock Test - 42026
0% accuracy
The principal value of is:
Q24mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If takes a non-positive permissible value, then will be:
Q25mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If then is:
Q26mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
What are the principal solutions of the equation ?
Q27mediummcqQuantitative AptitudePrepp2026
0% accuracy
If , where is an acute angle, then find the value of .
Q28mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
If , then one of the values of the expression is _______.
Q29mediummcqMathematicsAIEEE 20072026
0% accuracy
A tower stands at the centre of a circular park. and are two points on the boundary of the park such that subtends an angle of at the foot of the tower, and the angle of elevation of the top of the tower from or is . The height of the tower is:
Q30mediummcqMathematicsAIEEE 20072026
0% accuracy
If , then a value of is:
Q31mediummcqMathematicsAIEEE 20062026
0% accuracy
If and , then is:
Q32mediummcqMathematicsAIEEE 20062026
0% accuracy
A particle has two velocities of equal magnitude inclined to each other at an angle . If one of them is halved, the angle between the other and the original resultant velocity is bisected by the new resultant. Then is:
Q33mediummcqMathematicsAIEEE 20062026
0% accuracy
The value of is:
Q34mediummcqMathematicsAIEEE 20062026
0% accuracy
The number of values of in the interval satisfying the equation is:
Q35mediummcqMathematicsAIEEE 20062026
0% accuracy
If the roots of the quadratic equation are and , respectively, then the value of is:
Q36mediummcqMathematicsCompetitive Exam Practice2026
0% accuracy
The ratio of the length of a tree to its shadow is . The angle of the sun's elevation is:
Q37mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
और है, तो
Q38mediummcqQuantitative AptitudePrepp2026
If , then find the value of .
Q39mediummcqQuantitative AptitudePrepp2026
If , then one of the values of the expression is:
Q40mediummcqQuantitative AptitudePrepp2026
If , where is an acute angle, then find the measure of .
Q41mediummcqQuantitative AptitudeCompetitive Exam Practice2026
If sinA+cosA=
3
4
​
, then find the value of tanA+cotA.
Q42mediummcqQuantitative AptitudeSSC CGL2026
If A is an acute angle, what is the value of cscA, if cotA=
p
2
−1
2p
​
?
Q43hardmcqQuantitative AptitudeSSC CGL2026
The value of cscθ[
1+cscθ
sinθ
​
+
sinθ
1+cscθ
​
]−2cot
2
θ is equal to:
Q44mediummcqQuantitative AptitudeCompetitive Exam2026
The expression sin
2
θ+cos
2
θ−1=0 is satisfied by how many values of θ?
Q45mediummcqQuantitative AptitudeCompetitive Exam2026
Find the value of (sin75
∘
+sin15
∘
).
Q46easymcqQuantitative AptitudeStaff Selection Commission2026
If 8tanA=5, what is the value of
8sinA+11cosA
8sinA−7cosA
​
?
Q47mediummcqQuantitative AptitudePrepp2026
If and , then find the value of .
Q48mediummcqQuantitative AptitudePrepp2026
If , then the value of is _________.
Q49mediummcqQuantitative AptitudePrepp2026
Find the value of .
Q50mediummcqQuantitative AptitudePrepp2026
Find the value of .
Q51easymcqQuantitative AptitudeSSC CGL2026
Which of the following is NOT a correct formula?
Q52mediummcqQuantitative AptitudeCompetitive Exam Practice2026
If tanθ+cotθ=2, then find the value of tan
53
θ+cot
38
θ.
Q53mediummcqMathematicsAIEEE2026
In a triangle , . If and are the roots of , then:
Q54mediummcqMathematicsAIEEE 20092026
Let and denote the statements: If , then:
Q55mediummcqMathematicsAIEEE2026
In a triangle , let . If is the inradius and is the circumradius of the triangle, then equals:
Q56mediummcqMathematicsAIEEE2026
If , then is equal to:
Q57mediummcqMathematicsAIEEE2026
If in a triangle , the altitudes from the vertices on opposite sides are in H.P., then are in:
Q58mediummcqMathematicsAIEEE-CBSE-ENG-032026
The sum of the radii of inscribed and circumscribed circles for an -sided regular polygon of side , is:
Q59mediummcqMathematicsAIEEE-CBSE-ENG-032026
If in a triangle , , then the sides and :
Q60mediummcqMathematicsAIEEE-CBSE-ENG-032026
The upper th portion of a vertical pole subtends an angle at point in the horizontal plane through its foot and at a distance 40 m from the foot. A possible height of the vertical pole is:
Q61mediummcqMathematicsAIEEE2026
is a vertical pole with at the ground level and at the top. A man finds that the angle of elevation of the point from a certain point on the ground is . He moves away from the pole along the line to a point such that . From , the angle of elevation of the point is . Then the height of the pole is:
Q62mediummcqQuantitative AptitudePrepp2026
Simplify the expression:
Q63mediummcqMathematicsAIEEE2026
Let and let , where , then
Q64mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
If , then for all real :
Q65mediummcqMathematicsAIEEE 20122026
In a , if and , then the angle is equal to:
Q66mediummcqMathematicsJEE Main2026
is a trapezium such that and are parallel and . If , and , then is equal to:
Q67mediummcqMathematicsJEE Main2026
If are in A.P. and and are also in A.P., then:
Q68mediummcqMathematicsJEE Main2026
The expression can be written as:
Q69mediummcqMathematicsMathematics Mock Test - 32026
Find the value of
Q70mediummcqMathematicsMathematics Mock Test - 82026
If , then
Q71mediummcqMathematicsMathematics Mock Test - 82026
If , then the value of will be:
Q72mediummcqQuantitative AptitudeCompetitive Exam2026
If Psin60
∘
=Qcsc45
∘
, then the value of
P
2
−Q
2

P
2
+Q
2

​
is equal to:
Q73mediummcqQuantitative AptitudeCompetitive Exam2026
If 3sec
4
θ+8=10sec
2
θ, then the value of tanθ can be:
Q74mediummcqMathematicsAIEEE 20042004
0% accuracy
If defined by is onto, then the interval of is
Q75mediummcqMathematicsAIEEE 20042004
0% accuracy
A person standing on the bank of a river observes that the angle of elevation of the top of a tree on the opposite bank of the river is and when he retires meter away from the tree the angle of elevation becomes The breadth of the river is
Q76mediummcqMathematicsAIEEE 20042004
0% accuracy
The sides of a triangle are and for some Then the greatest angle of the triangle is
Q77hardmcqMathematicsAIEEE 20042004
0% accuracy
If then the difference between the maximum and minimum values of is given by
Q78hardmcqMathematicsAIEEE 20042004
0% accuracy
Let be such that If and then the value of is

Frequently Asked Questions

How many Trigonometry questions are on ExamTest.live?▼
We have 78 Trigonometry questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Trigonometry MCQs free?▼
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Which exams include Trigonometry questions?▼
Trigonometry questions are commonly asked in Mathematics, Quantitative Aptitude. You can filter by exam using the links above.
How do I practice Trigonometry questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.