Series RTEQ.P. Code 31/-3/1
Roll No.
RTE LEARN · CBSE PATTERN 2026–27
MATHEMATICS
Unit test · Ch 8: Introduction to Trigonometry
Time allowed : 40 MinutesMaximum Marks : 20
General Instructions :
Read the following instructions carefully and follow them :
(i)This question paper contains 11 questions. All questions are compulsory.
(ii)This question paper is divided into three sections – A, B and C.
(iii)In Section A, Question numbers 1 to 5 carry 1 mark each.
(iv)In Section B, Question numbers 6 to 8 are very short answer (VSA) type questions carrying 02 marks each.
(v)In Section C, Question numbers 9 to 11 are short answer (SA) type questions carrying 03 marks each.
(vi)Draw neat figures wherever required. Take π = 22/7 wherever required, if not stated.
(vii)Use of calculators is not allowed.
SECTION A
This section comprises 5 questions of 1 mark each.
1.1
Find the value of 2 sin 30° cos 30°.
2.1
If cosec θ = 2 and θ is acute, find θ.
3.1
Find the value of sin 35° − cos 55°.
4.1
Find the value of tan 60° × tan 30°.
5.1
If sin A = 3/5 and A is acute, find cos A.
SECTION B
This section comprises 3 very short answer (VSA) type questions of 2 marks each.
6.2
If sin(A + B) = 1 and cos(A − B) = √3/2, with A > B, find A and B.
7.2
Evaluate: 3 tan² 30° + 2 cos² 45° − sin 90°.
8.2
If tan θ = 5/12 (θ acute), find sin θ + cos θ.
SECTION C
This section comprises 3 short answer (SA) type questions of 3 marks each.
9.3
If 3 cot θ = 4, evaluate (5 sin θ − 3 cos θ)/(5 sin θ + 3 cos θ).
10.3
Evaluate: (sin² 22° + sin² 68°)/(cos² 22° + cos² 68°) + sin² 63° + cos 63° sin 27°.
11.3
Prove that (sin A + cos A)(sec A + cosec A) = 2 + tan A + cot A.
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