CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry Important Questions with Answers

CBSE Class 10 Maths Chapter 8 Introduction to Trigonometry Important Questions: In this Web Page, we will be discussing all the different kinds of important questions from Class 10 Maths Chapter 8 Introduction to Trigonometry in CBSE Class 10 syllabus for the year 2022-23. Candidates preparing for CBSE Class 10 Mathematics Standard and Mathematics Basic examination must prepare these Important questions very well in order to get great scores good mark in Board Exam.

MULTIPLE CHOICE QUESTIONS

Q1. If cos⍬ = ½ then cos⍬ -sec ⍬ is equal to

Q2. If sin ⍬ =x and sec⍬ = y, then tan ⍬ is equal to

Q3. If Cos A = ⅗, find the value of 9 + 9 tan² A

Q4. If 0 ≤ A, B ≤ 900 such that Sin A = ½ and Cos B = ½ ,  A + B =

Q5. In a Δ ABC, right angled at B, the value of Sin (A +C) is

VERY SHORT ANSWER QUESTIONS (1 MARK each)

Q1. Find the value of (Sin 30 +Cos 30) – (Sin60 + Cos 60)

Q2. If Sin⍬ – Cos ⍬ = 0, find the value of ⍬

Q3. ΔABC is right angled at C, and AC = √3 BC, prove that ∠ ABC = 60^o

Q4. If 2 Sin 3x= √3, then find the value of x

Q5. If Sin A + Sin²A=1 then find Cos² A +Cos⁴ A

SHORT ANSWER TYPE QUESTIONS (2 MARK questions)

Q1. If tanβ=24/7, then the value of sinβ +cosβ is

Q2. If tan 3x = sin450 cos45^o + sin30^o then value of x is

Q3. In triangle ABC ,right angled triangled at B, AB =5cm and <ACB=30^o,then the length of the side AC is

Q4. Given that the sinβ = √(3/2) and the cosα= 0,then the value of β – α is

Q5. In a triangle ABC i, right angled at C if <A=30^o, AB=40 units find BC

SHORT ANSWER TYPE QUESTIONS (3 MARK questions)

Q1. In ∆ DEF, ∠E = 90°, DF – DE =2 cm and EF = 6 cm. Find cos D + sin D.

Q2. In the figure, ∠ACB = 90°, ∠BDC = 90°, CD = 4 cm, BD = 3 cm and AC = 12 cm. Find Cos A – Sin A

 

 

 

 

 

 

LONG ANSWER TYPE QUESTIONS (4 MARK QUESTIONS)

 

 

 

 

 

CASE STUDY BASED QUESTION

Pragya noticed a tower built near her colony’s playground. She sees that it is being held by a wire, attached to the top of the tower. The wire makes an angle of 60°with the ground. Using these Information find the answers to the following questions

1. What is the measure of ∠CAB ?

(a) 15°

(b)25°

(c) 30°

(d) 45°

2. What is the sin ratio of ∠CAB ?

(a) 0

(b) 1/2

(c) 1/√2

(d) (√3)/2

3. What is the value of cos ∠ACB ?

(a) 0

(b) 1/2

(c) 1/√2

(d) (√3)/2

4. sin²∠CAB + cos²∠CAB =

(a) 0

(b) 1

(c) 2

(d) 3

5. What is the value of tan 90?

(a) 0

(b) 1

(c) 1/2

(d) not defined

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