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SURA PUBLICATION-TRIGONOMETRY-EXERCISE 3.4
- Find sin (x - y) given that sin x = (8)/(17) with 0lt x lt (pi)/(2) an...
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- Find the value of cos 105^(@)
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- Find the value of sin 105^(@)
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- Find the value of tan (7pi)/(12)
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- Prove that cos (30^(@) + x) = (sqrt(3) cos x - sin x)/(2)
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- Prove that cos (pi + theta) = - cos theta
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- Prove that sin (pi + theta) = - sin theta
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- Find a quadratic equation whose roots are sin 15^(@) and cos 15^(@)
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- Expand cos ( A + B + C). Hence prove that cos A cos B cos C = sin A si...
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- Prove that sin (45^(@) + theta) - sin (45^(@) - theta) = sqrt(2) sin...
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- Prove that sin (30^(@) + theta) + cos (60^(@) + theta) = cos theta
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- If a cos (x + y) = b cos (x - y), show that (a + b)tan x = (a - b) cot...
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- Prove that sin 105^(@) + cos 105^(@) = cos 45^(@)
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- Prove that sin 75^(@) - sin 15^(@) = cos 105^(@) + cos 15^(@)
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- Show that tan 75^(@) + cot 75^(@) = 4
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- Prove that cos (A + B) cos C - cos (B + C) cos A = sin B sin (C - A)
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- Prove that sin (n + 1)theta sin (n - 1) theta + cos (n + 1)theta cos (...
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- If x cos theta = y cos (theta + (2pi)/(3))= z cos (theta + (4pi)/(3)) ...
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- Prove that sin ( A + B) sin (A - B) = sin^(2) A - sin^(2)B.
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- Prove that cos (A + B) cos (A - B) = cos^(2) A - sin^(2) B = cos^(2) ...
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