CBSE Class 10 Mathematics Introduction to Trigonometry MCQs Set C

Refer to CBSE Class 10 Mathematics Introduction to Trigonometry MCQs Set C provided below available for download in Pdf. The MCQ Questions for Class 10 Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested by CBSE, NCERT and KVS. Chapter 8 Introduction to Trigonometry Class 10 MCQ are an important part of exams for Class 10 Mathematics and if practiced properly can help you to improve your understanding and get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 10 Mathematics and also download more latest study material for all subjects

MCQ for Class 10 Mathematics Chapter 8 Introduction to Trigonometry

Class 10 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 8 Introduction to Trigonometry in Class 10.

Chapter 8 Introduction to Trigonometry MCQ Questions Class 10 Mathematics with Answers

Question. Find the value sin2 30° cos2 45° + 4tan2 30° + 1/2 sin2 90o 2cos2 90° + 1/24
(a) 1
(b) 2
(c) √2
(d) √3

Answer: B

Question. An electric pole is 10√3 m high and its shadow is 10 m in length, then the angle of elevation of the sun is
(a) 45°
(b) 15°
(c) 30°
(d) 60°

Answer: D

Question. A kite is flying at a height of 90 m above the groun(d) The string attached to the kite is temporarily tied to a point on the groun(d) The inclination of the string with the ground is 60° . The length of the string, assuming that there is no slack in the string is
(a) 90√3 m
(b) 60√3 m
(c) 90 m
(d) 45 m

Answer: B

Question. If the angle of depression of a car from a 100 m high tower is 45°, then the distance of the car from the tower is
(a) 100 m
(b) 200 m
(c) 100√3m
(d) 100√2m

Answer: A

Question. A kite is flying at a height of 200 m above the groun(d) The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 45°. The length of the string, assuming that there is no slack in the string is
(a) 100 m
(b) 200 m
(c) 200√2 m
(d) 100√2 m

Answer: C

Question. Find the value of 5cos α – 4/3 – 5 sin α – 3 + 5 sin α/4 + 5 cos α .
(a) – 1
(b) 5
(c) 1
(d) 0

Answer: D

Question. Two men are on opposite sides of a tower. They observe the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 100m, then the distance between them is
(a) 100(√3−1) m
(b) 100(√3+1) m
(c) 100(1−√3) m
(d) none of these

Answer: B

Question. The ___________ is the angle between the horizontal and the line of sight to an object when the object is below the horizontal level.
(a) angle of projection
(b) angle of elevation
(c) None of these
(d) angle of depression

Answer: D

Question. The ratio between the height and the length of the shadow of a pole is √3: 1, then the sun’s altitude is
(a) 45°
(b) 30°
(c) 75°
(d) 60°

Answer: D

Question. The angle of elevation of the top of a tower from a point on the ground and at a distance of 30°m from its foot is . The height of the tower is
(a) 30√3m
(b) 10 m
(c) 10√3m
(d) 30 m

Answer: C

Question. If 8 tan A =15, find the value of sinA – cosA / sinA + cosA
(a) 7/23
(b) 11/23
(c) 13/23
(d) 17/23

Answer: A

Question. If 4sinΘ = 3cosΘ ,find sec2Θ / 4(1 – tan2Θ)
(a) 25/16
(b) 25/28
(c) 1/4
(d) 5/6

Answer: B

Question. Find the value of cos1o cos2o cos3o …..cos89o cos90o
(a) 1
(b) 1/2
(c) 1/√2
(d) 0

Answer: D

Question. If tan 26o tan19o/ x(1 tan 26o tan19o ) = cos60o, what is the value of x ?
(a) 1
(b) 2
(c) 2
(d) 3

Answer: C

Question. If the shadow of a tower is 30 m long when the sun’s elevation is . The length of the shadow, when the sun’s elevation is
(a) 10 m
(b) 30 m
(c) 10√3 m
(d) 20 m

Answer: A

Question. What is the angle between the hour and minute hands of a clock at 02 :15 hours?
(a) 15o
(b) 7 (1o/2)
(c) 22(1o/2)
(d) 30o

Answer: C

Question. Fill in the blanks.

Question. If cosθ =1, then θ = ___________.
Answer: 0

Question. sin58°/cos32° = _____________.
Answer: 1

Question. 3tan245° = ___________.
Answer: 3

Question. The word ‘Trigonometry’ is derived from the Greek words _____________, _____________ and _____________.
Answer: Tri, gon, metron

One words

Question. What is the relation between sinθ,cosθ and cotθ?
Answer: cotθ= cosθ /sinθ

Question. Does the value of tanq increase or decrease as we increase the value of θ? Give reason.
Answer: Increase because as we increase q, the side opposite to right angle will increase and the ratio of tanq will also increase.

Question. What is the relation between tanq and secθ?
Answer: 1 +tan2 θ = sec 2 θ

Question. What is the maximum possible value for sine of any angle?
Answer: 1

Question. What is the value of sine of 0°?
Answer: 0

Question. What is 1+tan2θ?
Answer: sec 2 θ

Write True or False.

Question.secA =1/cosA = 1 , for an acute θ
Answer: True

Question. The value of tan A is always less than 1. State True or False.
Answer: False

Question. sin60° = 2sin30°
Answer: False

Question. tan2 A = sec 2 A -1 (v) sin2 56° +cos2 34° =1
Answer: True

Question. cosec 50° = sec 40°
Answer: False

Question. cos A = cos × A
Answer: False

Chapter 09 Some Applications of Trigonometry
CBSE Class 10 Mathematics Application of Trigonometry MCQs

MCQs for Chapter 8 Introduction to Trigonometry Mathematics Class 10

Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 MCQs. If you download MCQs with answers for the above chapter you will get higher and better marks in Class 10 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Multiple Choice Questions practice of Mathematics will help students to have stronger understanding of all concepts and also make them expert on all critical topics. After solving the questions given in the MCQs which have been developed as per latest books also refer to the NCERT solutions for Class 10 Mathematics. We have also provided lot of MCQ questions for Class 10 Mathematics so that you can solve questions relating to all topics given in each chapter. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter.

Where can I download latest CBSE MCQs for Class 10 Mathematics Chapter 8 Introduction to Trigonometry

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Are the Class 10 Mathematics Chapter 8 Introduction to Trigonometry MCQs available for the latest session

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