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PATHFINDER-TRANSFORMATION FORMULAE-QUESTION BANK
- Prove that (sinA+sinB)/(sinA-sinB)=tan((A+B)/2)cot((A-B)/2)
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- Prove that (sinA+sin3A)/(cosA+cos3A)=tan2A.
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- Evaluate:sin75^@ cdot cot15^@
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- Prove that (sinA+sinB)/(cosA+cosB)=tan((A+B)/2)
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- Prove that2"sin"(5pi)/(12)"cos"(pi)/(12)=(sqrt3+2)/2
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- If sin(theta+alpha)/(cos(theta-alpha))=(1-m)/(1+m) Prove that tan(pi/4...
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- If cosecA+secA=cosecB+secB Prove that tanAtanB=cot((A+B)/2).
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- Prove that (sin(theta+phi)-2sintheta+sin(theta-phi))/(cos(theta+phi)-2...
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- Show thatsinalpha+sinbeta+singamma-sin(alpha+beta+gamma)=4sin ((alpha+...
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- Prove that cos10^@cos30^@cos50^@cos70^@=3/(16).
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- Prove that sin20^@sin40^@sin80^@=sqrt3/8
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- Prove thatsin10^@sin50^@sin60^@sin70^@=sqrt3/(16)
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- Prove that tan20^@tan30^@tan40^@tan80^@=1
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- Prove that (sin5A-sin7A+sin8A-sin4A)/(cos4A+cos7A-cos5A-cos8A)=cot6A
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- Prove that (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2((alpha-bet...
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- Prove that sinalpha+sin(alpha+(2pi)/3)+sin(alpha+(4pi)/3)=0.
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- 2 cos ""pi/13 cos "" (9pi)/( 13) + cos "" (3pi)/(13) + cos " (5pi)/( 1...
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- Show that tan20^@tan40^@tan80^@=sqrt3
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- If cosA+cosB=1/2and sinA+sinB=1/4Prove that tan((A+B)/2)=1/2
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- If sin2A=lamdasin2B.Prove that tan(A+B)/(tan(A-B))=(lamda+1)/(lamda-1)
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