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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.