# Class 10 trigonometry mcqs Maths Chapter 8 term 1

## Class 10 trigonometry mcqs :

Class 10 Maths chapter 8 Trigonometry multiple choice questions (mcqs) for term 1 exam 2021-22. All the questions are important for the students whether they have taken basic or standard maths. All questions have been prepared for the best preparation by our expert team. Objective type questions are the part of the term 1 board exam 2021-22.

CBSE introduced the new pattern for board examination for the session of 2021-22. Term 1 exam of MCQ questions. And term 2 exam of subjective exams.

#### Class 10  – MATHS  trigonometry mcqs

CH-8 Introduction to trigonometry

(40 questions)

1. 1. The value of sin260° + 3tan230° – 8sin45°cos45° is
2. (a) 0 (b) 1 (c) 2 (d) 5
3. 2. If x=a secAcosB , y=b secAsinB and z=c  tanA, then x²/a² + y²/a² is equal to –
4. (a) z²/c² + 1 (b) 1- z²/c² (c) z²/c² – 1 (d) z²/c²
5. 3. The value of (sin60 + cot45 – cosec30)/(sec60 – cos30 + tan45) is –
1. 4. (x cosec²30 sec²45)/(8 cos²45 sin²60) = tan²60 – tan²30,then x is equal to –
2. (a) 1 (b) -1 (c) 2 (d) 0
1. 5. If sinA – cosA = 0, then sin4A   cos4A  is equal to
2. (a) 1 (b) 3/ 4 (c) 1/ 2 (d) 1/ 4

6. If tanA = √3 and tanB = 1/√3, 0 <A, B<90, then the value of cot(A+B) is –

1. (a) √3 (b) 0 (c) 1/ √3 (d) 1
1. 7. If sinx + cosecx = 2 , then sin19x +cosec20x is equal to
2. (a) 219 (b) 220 (c) 2 (d) 239
3. 8. From the given figure, the value of 25(sin2A+ 2cos2A – tanA) is –
1. (a) 2/3 (b) -2/3 (c) 3/2 (d) -3/2

9. The value of ( 1/cosA + 1/cotA)(1/cosA – 1/cotA) is –

(a) 0 (b) -1 (c) 1 (d) 2

10. The value of (tan30 + cot60)/tan30(sin30 + cos60) is –

(a) 2 (b) 6 (c) 4 (d) 5

#### Previous year questions

11. If tanA = 3, then find the value of the following expression (4sin²A – 2cos²A)/(4sin²A + 3cos²A) –

1. (a) 1/21 (b) 23/41 (c) -1/21 (d)Can’t be determined
2. 12. If A=30° , then the value of 3cosA-4cos3A is
3. (a) 0 (b) 1 (c) -1 (d) 2
1. 13. The distance between the points (asinA + bcosA, 0 ) and (0, acosA –  bsinA) is
2. (a) a2+b2 (b) a2 – b2 (c) √a2+b2 (d) √(a2 – b2 )
3. 14. xtan30°cos30° = sin60°cot60° , then x is equal to –
4. (a) 1 (b) √3 (c) 1/2 (d) 1/√3
1. 15. If x=rsinAcosB , y=bsinAsinB and z=rcosA , then
2. (a) x2+y2+z2 = r (b) x2+y2– z2 = r
3. (c) x2 – y2+z2 = r (d) z2+y2 – x2 = r

16. (sin²A – 3 sinA + 2)/cos² A = 1,then A will be –

1. (a) 0° (b) 30° (c) 45° (d) 60°
1. 17. If tanA = 40/9 , then the value of cosecA  is
2. (a) 9/41 (b) 41/40 (c) 40/9 (d) 9/40

18. If (tan³A-1)/(tanA-1) = Asec²A + BtanA , then A + B is equal to –

(a) 1 (b) -1 (c) 2 (d) 3

19. If sinA= ½ , then the value of sinA( sinA- cosecA) is –

(a) 3/4 (b) -3/4 (c) √3/2 (d) -√3/2

1. 20. If sinA= cosecA=1 , then the value of sinA+cosecA is
2. (a) 2√5 (b) 2 (c) 3 (d) 9

#### Important questions for Class 10 maths

21. If tanA = a/b , then (a sinA – b cosA)/(a sinA + b cosA) is equal to (a) (a2+b2)/ (a2-b2) (b) (a2-b2)/ (a2+b2) (c) a2/ (a2+b2) (d) b2/ (a2+b2 )

22. The value of (sin²A )/(1 + cot²A) – (cos²A)/(1 + tan²A) is – (a) sin²A – cos²A (b) sin²A (c) -1 (d) cos²A

23. If (2Sin4A)/3 = (√3 x 4)/12 , then the value of A is –

1. (a) 30° (b) 45° (c) 15° (d) 60°
2. 24. Given that sinA = m/n , then cotA – tanA is –

25. If 1/(1+cosA) + 1/(1-cotA) = kCosec²A , then the value of k is –

(a) 1 (b) -1 (c) 2 (d) ½

26. If sinA = 5/13 then the value of 2secA.tanA is –

(a) 65/30 (b) 45/25 (c) 65/75 (d) 65/72

27. cosA/cotA + sinA is –

(a) cotA (b) 2 sinA (c) 2 cosA (d) secA

28. If x.tan45°.cot60° = sin30°.cosec60° , then the value of x is –

1. (a) 1 (b) 1/4 (c) 1/2 (d) √3
2. 29. If cosec2A (1+cosA)(1-cosA) = k , then the value of  is k –
1. (a) 0 (b) Cos2A (c) 1 (d) -1
2. 30. If 4tanA = 3 , then (4sinA-cosA)/(4sinA+cosA) is equal to –
1. (a) 2/3 (b) 1/3 (c) 1/ 2 (d) 3/ 4

#### Class 10 science extra questions

1. 31. The value of 11/(cot²A) – 11/(cot²A) is –
1. (a) 11 (b) 0 (c) 1/11 (d) -11

32. If tanA = 3/4 then cos²A – sin²A is equal to –

(a) 7/25 (b) 1 (c) -7/25 (d) 4/25

33. If 16cotx=12 , then (sinx – cosx)/(sinx + cosx) equal –

1. (a) 1/7 (b) 3/7 (c) 2/7 (d) 0
2. 34. If sinA + cosecA=2 , then sin2A + cosec2A is equal to –
1. (a) 2 (b) 3 (c) 1 (d) 4
1. 35. If cos30°.tan30 = sinꬰ and  ꬰ<90° , then the value of tan2ꬰ is –
2. (a) 1/√3 (b) √3 (c) 1 (d) 0

36. Cos4A-sin4A is equal to –

1. (a) 1-2cos2A (b) 2sin2A-1 (c) Sin2A-cos2A (d) 2cos2A-1

37. If x = 3 sec²A – 1 and y = tan²A – 2, then x – 3y is equal to –

1. (a) 3 (b) 4 (c) 8 (d) 5

38. SecA is equal to –

39. (1+ cot²A)/(1+ tan²A) is equal to –

(a) tan²A (b) sec²A (c) cosec²A – 1 (d) 1 – sin²A

40. The value of (sinA – 2sin³A)/(2cos³A – cosA) , where A is acute angle –

(a) cosecA (b) cotA (c) tanA (d) cosA sinA

41. If tanA + sinA = m and tanA – sinA = n, then m² – n² is equal to –