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Q:

On walking 100 metres towards a building in a horizontal line, the angle of elevation of its top changes from 45 to 60 deg. What will be the height (in metres) of the building?

A) 50(3 + √3) B) 100(√3 + 1)
C) 150 D) 100√3
 
Answer & Explanation Answer: A) 50(3 + √3)

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

What is the value of [cos (90 + A)÷sec (270 – A)] + [sin (270 + A)÷cosec (630 – A)]?

A) 3 sec A B) tan A sec A
C) 0 D) 1
 
Answer & Explanation Answer: D) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of sin (90° + 2A)[4 – cos2(90° – 2A)]?

A) 2(cos3 A – sin3 A) B) 2(cos3 A + sin3 A)
C) 4(cos6 A+ sin6 A) D) 4(cos6 A – sin6 A)
 
Answer & Explanation Answer: D) 4(cos6 A – sin6 A)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of [2 sin (45 + θ) sin (45 – θ)]/cos 2θ?

A) 0 B) tan 2θ
C) cot 2θ D) 1
 
Answer & Explanation Answer: D) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of sin 75°+ sin 15°?

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

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of [1 – sin (90 – 2A)] / [1 + sin (90 + 2A)]?

A) sinA cosA B) cot2A
C) tan2A D) sin2A cosA
 
Answer & Explanation Answer: C) tan2A

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of [(cos 7A + cos 5A)÷(sin 7A – sin 5A)]?

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

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Filed Under: Simplification
Exam Prep: Bank Exams