Question Library
Browse our collection of questions across various subjects
Mathematics
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A spherical balloon of radius r subtends angle 60° at the eye of an observer. If the angle of elevation…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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What is(1 + secθ – tanθ)cosθ——————————————(1 + secθ + tanθ)(1 – sinθ)equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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What is(sinθ + cosθ)(tanθ + cotθ)——————————————secθ + cosecθequal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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Consider the following statements: tanθ increases faster than sinθ as θ increases. The value of sin⁶θ + cos⁶θ is always…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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What is sin⁶θ + cos⁶θ + 3sin²θcos²θ equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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If α, β, γ are acute angles such thatsinα = √3/2, cosβ = √3/2, tanγ = 1then what is α…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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If triangle ABC is right-angled at C, then what is cos(A + B) + sin(A + B) equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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What is cosec(75° + θ) − sec(15° − θ) equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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If sinA = 3/5 and cosB = 4/5, where A and B are acute angles, then what is the value…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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If 4tanθ = 3, then what is (4sinθ – 3cosθ) / (4sinθ + 3cosθ) equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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If 5sinθ + 12cosθ = 13, then what is 5cosθ – 12sinθ equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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If tanθ + secθ = m, then what is secθ equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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What iscos²(45° + θ) + cos²(45° – θ)———————————————————————tan(60° + θ) · tan(60° – θ) equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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What is the angle of elevation of the sun when the shadow of a pole of height x metres is…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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If sinθ + cosθ = √3, then what is tanθ + cotθ equal to?
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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If the bisectors BI and CI of the angles B and C of a triangle ABC meet at the point…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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Consider the following statements: If G is the centroid of triangle ABC, then GA = GB = GC. If H…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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ABC is an equilateral triangle inscribed in a circle. D is any point on the arc BC. What is ∠ADB…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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PQR is an equilateral triangle. O is the point of intersection of altitudes PL, QM and RN. If OP =…
CDS Elementary Mathematics 2013
CDS 2013
Mathematics
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E is the midpoint of the median AD of a triangle ABC. If BE produced meets the side AC at…
CDS Elementary Mathematics 2013
CDS 2013