Trigonometry ( 6 to 10 )

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Trigonometry ( 6 to 10 ):


APTITUDE QUESTIONS (TRIGONOMETRY):

6. If A + B = 45 º, then the value of (cot A – 1) (cot B – 1) is

A)    1

B)    -1

C)    0

D)    2

E)    None of these

View Answer

Answer: option (D)

Explanation:


 

7. The value of 3 sin 15º – 4 sin3º 15º is:

A)    1

B)    ½

C)    1/√2

D)    0

E)    None of these

View Answer

Answer: option  (C)

Explanation:
As, 3 sin θ – 4 sin3 θ = sin 3 θ
So, 3 sin 15 – 4 sin3 15 = sin 3(15) = sin 45º= 1/√2

 

8. The maximum value of sin x + cos x is:

A)    -√2

B)    √2

C)    1

D)    -1

E)    None of these


View Answer

Answer: option  (B)

Explanation:
The maximum value of a sin θ + b cos θ    is  √(a2+b2)
So, here a = 1, b = 1
Maximum value = (1+1) = √2

 

9. If sin θ = 3/5 , then cos θ      is:

A)    √3 / 2

B)    3/5

C)    4/5

D)    5/5

E)    None of these

View Answer

Answer: option (C)

Explanation:

 

10. If tan C = 11, then sin2 C + cos2 C is equal to

A)    2

B)    3

C)    0

D)    1

E)    None of these

View Answer

Answer: option  (D)

Explanation:
If tan C = 11, sin2 C + cos2 C = 1 it is an identity.

 

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