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Q:

The distance between the tops of two building 38 metres and 58 metres high is 52 metres. What will be the distance (in metres) between two buildings?

A) 46 B) 42
C) 44 D) 48
 
Answer & Explanation Answer: D) 48

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Filed Under: Time and Distance
Exam Prep: Bank Exams

Q:

What is the value of [sin (90 – A) + cos (180 – 2A)]/[cos (90 – 2A) + sin (180 – A)]?

A) sin (A/2) cos A B) cot (A/2)
C) tan (A/2) D) sin A cos (A/2)
 
Answer & Explanation Answer: C) tan (A/2)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of [1 – tan (90 – θ) + sec (90 – θ)]/[tan (90 – θ) + sec (90 – θ) + 1]?

A) cot (θ/2) B) tan (θ/2)
C) sin θ D) cos θ
 
Answer & Explanation Answer: B) tan (θ/2)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of (cos 40° – cos 140°)/(sin 80° + sin 20°)?

A) 2√3 B) 2/√3
C) 1/√3 D) √3
 
Answer & Explanation Answer: B) 2/√3

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

If tan θ + sec θ = (x – 2)/(x + 2), then what is the value of cos θ?

A) (x2 – 1)/(x2 + 1) B) (2x2 – 4)/(2x2 + 4)
C) (x2 – 4)/(x2 + 4) D) (x2 – 2)/(x2 + 2)
 
Answer & Explanation Answer: C) (x2 – 4)/(x2 + 4)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of [2 cot × (p – A)/2]/[1 + tan2× (2p – A)/2]?

A) 2 sin2 A/2 B) cos A
C) sin A D) 2 cos2 A/2
 
Answer & Explanation Answer: C) sin A

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of (32 cos6x – 48 cos4x + 18 cos2x – 1)/[4 sin x cos x sin (60 – x) cos (60 – x) sin (60 + x) cos (60 + x)]?

A) 4 tan 6x B) 4 cot 6x
C) 8 cot 6x D) 8 tan 6x
 
Answer & Explanation Answer: C) 8 cot 6x

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of {(sin 4x + sin 4y) [(tan 2x – 2y)]}/(sin 4x – sin 4y)?

A) tan 2 (2x + 2y) B) tan2
C) cot (x – y) D) tan (2x + 2y)
 
Answer & Explanation Answer: D) tan (2x + 2y)

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Filed Under: Simplification
Exam Prep: Bank Exams