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ARIHANT MATHS-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)
- If m sin (alpha-beta) = cos (alpha-beta), prove that (1)/(1- m sin 2...
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- If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 ...
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- The set of values of a for which the equation Sin^4 x + Cos^4 x = a ha...
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- If aa n db are positive quantities such that a > b , the minimum value...
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- If alpha+beta+gamma=2pi, then show that tan.alpha/2 + tan.beta/2 + tan...
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- Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...
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- Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)cos(a1+x)++1/(2^(n-1))cos(an+x)...
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- Eliminate theta from the equations tan(n theta+alpha)-tan(n theta+b...
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- lf cos^2 alpha -sin^2 alpha = tan^2 beta, then show that tan^2 alpha...
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- If A, B, C are the angle of a triangle and |(sinA,sinB,sinC),(cosA,...
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- In any DeltaABC, prove that Sigma (sqrt(sinA))/(sqrt(sinB)+sqrt(sinC...
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- Find all value of theta which satisfy, sin ( 3 theta + alpha ) + si...
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- If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)-...
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- If 2costheta=x+1/x, prove that 2cos3theta=x^3+1/x^3
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- If (cos theta(1))/(cos theta(2))+(sin theta(1))/(sin theta(2))=(cos th...
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- Prove that sum(k=1)^(n-1) ""^(n)C(k)[cos k x. cos (n+k)x+sin(n-k)x.s...
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- Solve sin 2x gt sqrt(2) sin^(2) x+ (2-sqrt(2))cos^(2)x
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- The number of solutions of the equation cos[x]=e^(2x-1), x in [0, 2pi]...
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- Prove that: sum(r=0)^(n) 3^( r) ""^(n)C(r) = 4^(n).
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- Resolve Z^5+ 1 into linear & quadratic factors with real coefficients...
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