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A DAS GUPTA-Trigonometrical Inequalities and Inequations -Exercise
- Prove that in a triangle ABC, sinA/2 * sin B/2 *sin C/2 le 1/8 Also p...
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- Prove that in a triangle ABC, sinA/2 * sin B/2 *sin C/2 le 1/8 Also p...
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- Prove that in triangle ABC, cos^(2)A + cos^(2)B + cos^(2)C lt 3/4.
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- Prove that if cot A + cot B + cot C = sqrt3, the triangle will be equ...
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- Prove that in an acute angled triangle ABC, tan A+tan B+ tan C ge 3sq...
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- Show that the greatest value of sin 2A + sin 2B +sin 2C in a triangle...
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- If A sube B and C sube D, then prove that: A xx C sube B xx D
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- Prove that sin^(2n)theta + cos^(2n)theta le 1 for all theta and n ge 1...
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- Find the set of all x in [0, pi] for which 2sin^(2)x - 3sin x + 1 ge ...
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- solve sin^(-1) x le cos^(-1) x
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- Solve: sin 2x gt cos x.
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- Solve: cos x + cos 2x + cos 3x = 0, x in [0, pi].
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- Solve: cos 3x + sqrt3 sin 3x + sqrt2 lt 0.
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- Solve: tan x = 3cot x.
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- In the following incomplete sentences, fill in the blanks so that the ...
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- In the following incomplete sentences, fill in the blanks so that the ...
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- In the following incomplete sentences, fill in the blanks so that the ...
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- If in a triangle ABC, the angle C is obtuse then tan A *tan B is
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- Prove that in a triangle ABC, sin^(2)A - sin^(2)B + sin^(2)C = 2sin A...
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