Question Library
Browse our collection of questions across various subjects
Mathematics
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What is (1 − tan²(x/2)) / (1 + tan²(x/2)) equal to ?
NDA Mathematics 2013
NDA 2013
Mathematics
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The expression (cot x + cosec x − 1) / (cot x − cosec x + 1) is equal to
NDA Mathematics 2013
NDA 2013
Mathematics
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If cot A . cot B = 2, then what is the value of cos(A + B) . sec(A −…
NDA Mathematics 2012
NDA 2012
Mathematics
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If d is the number of degrees contained in an angle, m is the number of minutes and s is…
NDA Mathematics 2013
NDA 2013
Mathematics
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What is the angle subtended by 1 m pole at a distance 1 km on the ground in sexagesimal measure…
NDA Mathematics 2012
NDA 2012
Mathematics
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What is the value of (sin⁴θ − cos⁴θ + 1) cosec²θ ?
NDA Mathematics 2013
NDA 2013
Mathematics
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What is the value of cos⁵(cos⁻¹ 4/5 + cos⁻¹ 12/13) ?
NDA Mathematics 2012
NDA 2012
Mathematics
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If tan θ + sec θ = 4, then what is the value of sin θ ?
NDA Mathematics 2012
NDA 2012
Mathematics
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What is (sin θ/cosec θ) × (cos θ/sec θ) equal to ?
NDA Mathematics 2012
NDA 2012
Mathematics
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The angle of elevation of the tip of a flag staff from a point 10 m due South of its…
NDA Mathematics 2012
NDA 2012
Mathematics
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Which one of the following is positive in the third quadrant ?
NDA Mathematics 2012
NDA 2012
Mathematics
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What is sin A cos A tan A + cos A sin A cot A equal to ?
NDA Mathematics 2012
NDA 2012
Mathematics
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What is the maximum value of sin 3θ cos 2θ + cos 3θ sin 2θ ?
NDA Mathematics 2012
NDA 2012
Mathematics
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If tan⁻¹ 2, tan⁻¹ 3 are two angles of a triangle, then what is the third angle ?
NDA Mathematics 2012
NDA 2012
Mathematics
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From the top of a building of height h meter, the angle of depression of an object on the ground…
NDA Mathematics 2012
NDA 2012
Mathematics
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If cosec θ – cot θ = 1/√3 where θ ≠ 0, then what is the value of cos θ…
NDA Mathematics 2012
NDA 2012
Mathematics
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If tan A = x + 1 and tan B = x – 1, then x² tan(A – B) has…
NDA Mathematics 2013
NDA 2013