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A DAS GUPTA-Circular Functions, Identities -Exercise
- Prove that"sin"(pi)/(14)"sin"(3pi)/(14)"sin"(5pi)/(14)"sin"(7pi)/(14)=...
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- Show that :sin pi/7 *sin 2pi/7* sin3pi/7 = sqrt7/8
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- If u = sec theta + tan theta then tan theta in terms of u is.
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- If sin x + cos x = m(ne pm 1) and sec x + cosec x = n then n in terms ...
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- If alpha gt 0 such that tan(x + alpha) = tan x for all x in R then the...
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- If theta = 5pi/9 the sign of the expression cos theta + sin theta is.
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- If 5cos 2t + 12sin 2t = lambda sin(2t -tan^(-1)mu) where lambda, mu ar...
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- If cos A = 3/4 then the value of 32sin( A/2)* sin (5A/2) is.
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- If 0 lt beta lt alpha lt gamma and cos(alpha + beta) = 4/5, sin(alpha...
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- If alpha = 2pi/7 prove that tan alpha *tan 2alpha + tan 2alpha* tan 4a...
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- Let sin^(3)x* sin 3x = sum(m=0)^(n) cm cos mx be an identity in x wher...
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- If (cos (alpha1- alpha2))/(cos (alpha1+ alpha2)) = (cos (alpha3+ alph...
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- If sin x + sin y = a, cos x - cos y = b then the value of tan ((y-x)/2...
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- Find the value of sin^(2)5^(@)+ sin^(2)10^(@)+ sin^(2)15^(@)+* * * +si...
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- The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........
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- The numerical value of sin pi/18 * sin 5pi/18* sin 7pi/18 is.............
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- The numerical value of tan 20^circ* tan 40^circ* tan 80^circ =.
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- The numerical value of cos(( pi)/15)* cos ((2pi)/15)* cos ((4pi)/15) ...
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- The numerical value of sin 6^circ* sin 42^circ* sin 66^circ* sin 78^c...
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- The numerical value of cot^(2)36^circ* cot^(2)72^circ =.
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