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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
- 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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- If a sec alpha +btan alpha=d and bsec alpha +a tan alpha=c prove that ...
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- If a cos^3theta +3a cos theta sin^2theta =x and asin^3theta+3a cos^2th...
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- If cos alpha =1/2(x+1/x),cos beta=1/2(y+1/y) then evaluate cos(alpha-b...
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- If cos 2x + 2 cosx = 1 then evaluate sin^2x(2-cos^2x)
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- Prove that sqrt3cosec 20^@-sec20^@=4
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- Without using tables prove that (sin12^@)(sin 48^@)(sin 54^@)=1/8
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- In any triangle prove that cot(A/2)+cot (B/2)+cot(C/2)=cot(A/2)cot(B/2...
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