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NCERT-TRIGONOMETRIC FUNCTIONS-EXERCISE 3.3
- Prove that:cot 4x (sin 5x + sin 3x) = cot x (sin 5x sin 3x)
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- Prove that:(cos9x-cos5x)/(sin17 x-sin3x)=-(sin2x)/(cos10 x)
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- Prove that:(sin5x+sin3x)/(cos5x+cos3x)=tan4x
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- Prove that:(sinx-siny)/(cosx+cosy)=tan(x-y)/2
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- Prove that:(sinx+sin3x)/(cosx+cos3x)=tan2x
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- cot^2pi/6+cose c(5pi)/6+3tan^2pi/6=6
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- 2sin^2(pi/6 )+c o s e c^2((7pi)/6)cos^2(pi/3)=3/2
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- sin^2pi/6+cos^2pi/3-tan^2pi/4=-1/2
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- Prove that:(tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2
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- Prove that:cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)=sin(x+y)
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- Find the value of : (i) sin75^o (ii) tan15^o
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- Proved that 2sin^2(3pi)/4+2cos^2pi/4+2sec^2pi/3=10
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- Prove that: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x)]=1
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- Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2+x))=cot^2x
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- Prove that:(cos4x+cos3x+cos2x)/(sin4x+sin3x+sin2x)=cot3x
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- Prove that:(sinx-sin3x)/(sin^2x-cos^2x)=2sinx
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- Prove that:tan4x=(4tanx(1-tan^2x))/(1-6tan^2x+tan^4x)
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- Prove that:cot x cot 2x cot 2x cot 3x cot 3x cot x = 1
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- Prove that:cos6x=32cos^6x-48cos^4x+18cos^2x-1
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- Prove that : cos 4x = 1 - 8 sin^2 x cos^2 x.
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