Chap-8 MCQs - AMU/JMI XI-Dip.Engg. Entrance Test

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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15
Chapter 8 : Introduction to Trigonometry         Answers
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1.Which of the following can’t be the value of SinA, where `A is any angle of triangle
a)      3/4
b)      4/3
c)      0
d)     1

2. If SinA is  find the value of CotA

a ) 4/3

b) 3/4

c) 3/5

d) 4/3

3. If in ΔABC right angled at C, SinA=SinB, then

a)      AB = BC

b)      AB = AC

c)      AC = BC

d)     All of the above

4. What is the value of SecA, if tanA =

a ) 5/3

b) 5/4.

c) 4/5

d) 4/3

5. If 2SinA = 1. Find CotA

a) √3

b) 1/√3

c) 2√3

d) 2/√3

6. Which of the following trigonometric ration is not possible?

a)      sinA = 3/8

b)      cosA = 7/5

c)      tanA =7/2

d)     tanA = 3/5

7. Choose the correct option

a)      The value of sinA is always less than or  equal to 1

b)      SecA is 5/3 for some value of A.

c)      sinA is the product of sin and A

d)     sinA = 1/8 for some value of A

8. sin(a – b) = 1/2 and cos(a + b)= 1/2 ,

 0° < a + b ≤90°, a > b. Find A and B

a)      A = 30° and B = 60°

b)      A = 60° and B = 30°

c)      A = 15° and B = 45°

d)     A = 45° and B = 15°

9. Find the value of sinx. cosy + siny.cosx if x + y=90°  

a)      0

b)      1

c)      2

d)     Infinity

10. Find sin20°.cos70°+cos20°.sin70°.

a)      0

b)      1

c)      2

d)     Infinity

11. sin 2A =  sin A is true when A =

a)      0°

b)      30°

c)      45°

d)     60°

12. If cos(x + y) = 1/2 and cos(x-y) = √(3 )/2  ,0° < x + y ≤ 90°, x > y, find x.

a) 15°

b) 30°

c) 45°

d) 60°

13. Choose the correct option

a)      sin (A + B) = sin A + sin B

b)      cos (A + B) = sin A + sin B

c)      tan (A + B) = atn A + sin B

d)     None

14. Choose the correct option

a)      sinx increases as x increases

b)      cosx increases as x increases

c)      tanx decreases as x increases

d)     all of the above

15. Which of the following angles are complementary angles?

a)      17° and 72°

b)      29° and 61°

c)      30° and 150°

d)     78° and 102°

16. If sin 3A = cos (A – 10°), where 2A is an acute angle, find the value of A.

a)      25°

b)      30°

c)      35°

d)     40°

17. Find the value of sin17°.cos73° - sin73°.cos17°

a)      0

b)      1

c)      2

d)     Infinity

18. If sin A = cos B, then

a)      A – B = 90°

b)      A + B = 90°

c)      AB =90°

d)     A/B = 90°

19. If tan 4A = cot (A – 20°), where 4A is an acute angle, find the value of A..

a)      11°

b)      22°

c)      33°

d)     44°

20. If sec   = cosec  , then

a)      x + y = z

b)      x – y = z

c)      x + y + z = 90°

d)     x + y + z = 180°

21. Choose the correct option

a)      Cos² A + sin² A = 1

b)      sec²A - tan² A1  = 1

c)      cosec²A - cot²A = 1

d)     all of the above

22. tan x in term of sinx is given by 

a) 1/√(1-sin^2⁡〖x 〗 )

b) √(1-sin^2⁡〖x 〗 )

c) √(1+sin^2⁡〖x 〗 )

d) None

23. sec A (1 – sin A)(sec A + tan A) = ?

a)      0

b)      1

c)      -1

d)     2

24. sinx in terms of cotx is given by 

a) 1/√(1-cot^2⁡〖x 〗 )

b) 1/√(1-cot x )

c) 1/√(1+cot^2⁡〖x 〗 )

d) 1/√(1+cot⁡x )

25. (3 sin^2⁡25° +3 sin^2⁡65°)/(2 sec^2⁡〖30°〗-2)

a) (3√3)/2

b) (2√3)/3

c) 9/2

d) 7/3
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Maths Class X Chap-1 , Chap-2 ,Chap-3 ,Chap-4 , Chap-5 ,Chap-6 ,Chap-7 ,Chap-8 ,Chap-9 ,Chap-10 ,Chap-11 ,Chap-12 ,Chap-13 ,Chap-14, Chap-15


                                                     
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