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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
- Prove that (cos 7x+cos 5x)/(sin7x-sin 5x)=cotx
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- if tan( (pi)/9),x, tan ((5pi)/18) are in A.P. and tan(pi/9), y,tan ((7...
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- find the value of k which satisfy tan theta +tan(theta+pi/3)+tan (thet...
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- sin^3x.sin3x=underset(mrarr0)(oversetnsumCmcosmx is an identity in x,w...
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- Find sin( (pi)/n)+sin ((3pi)/n)+sin ((5pi)/n)+……..to n terms
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- Find theta if sin theta -cos theta lt0
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- Find A/2 if 2sin (A/2)=sqrt(1+sin A)+sqrt(1-sin A)
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- Find the range of A/2 if it satisfies 2 cos( A/2)=sqrt(1+sin A)-sqrt(1...
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- Find the maximum and minimum of 3sin 2x+4 cos 2x+3
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- Prove that -4le5cos theta +3 cos (theta+pi/3)+3le10 for all values of...
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- Find the maximum value of1+sin(pi/4+theta)+2cos(pi/4-theta) for all re...
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- Find cos(alpha+beta) if tan(alpha/2) and tan (beta/2) are roots of the...
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- If sec alpha and cosec alpha are the roots of x^2-px+q=0 then prove...
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- IfA+B+C=180^@then prove that sin( A/2)+sin( B/2)+sin( C/2) = 1+4 sin...
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- If x+y+z=xyz then prove that (3x-x^3)/(1-3x^2)+(3y-y^3)/(1-3y^2)+(3z-z...
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- Simplify the product cos A cos 2A cos2^2A……cos2^(n-1)A
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- Prove that the value of underset(r=0)overset10sum cos^3((rpi)/3) is eq...
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- If sinx+cosx=m and secx+cosecx=n prove that n(m^2-1)=2m
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- if xsin^3theta+ycos^3theta =sin theta cos theta and x sin theta -y cos...
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- Show that (sin^2 theta)/(1-cot theta)+(cos^2 theta)/(1-tan theta )=1+s...
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