RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-All Questions
- If sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta)=
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- Prove that sqrt((1-cos2theta)/(1+cos2theta))=tantheta where tantheta>0
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- Prove that: (sin2theta)/(1-cos2theta)=cottheta
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- Prove that: (sin2theta)/(1+cos2theta)=t a ntheta
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- Prove that: \ sqrt(2+sqrt(2+2cos4theta))=2costheta
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- Prove :(1+sin2theta-cos2theta)/(1+sin2theta+cos2theta)=tantheta
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- Prove that :(sintheta +sin2theta)/(1+costheta+cos2theta)=tantheta
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- Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)
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- Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)
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- Prove that: sin^2(pi/8)+sin^2((3pi)/8)+sin^2((5pi)/8)+sin^2((7pi)/8)=2
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- Prove that: (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=4cos^2\ \ ((alph...
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- Prove that: 1+cos^2 2theta=2(cos^4theta+sin^4theta)
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- Prove that :cos^3 2theta+3cos2theta=4(cos^6theta-sin^6 theta)
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- Prove that : (sin3A+sin A)sin A+(cos3A-cos A)cos A=0
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- Prove that:cos^2(pi/4-theta)-sin^2(pi/4-theta)=sin2theta
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- Prove that: cos4A=1-8cos^2\ A+8cos^4\ A
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- Prove that 3(sinx-cosx)^4+4(sin^6x+cos^6x)+6(sinx+cosx)^2=13
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- cos^6A-sin^6A=cos2A(1-1/4sin^2 2A)
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- Prove that: tan(pi/4+theta)+tan(pi/4-theta)=2sec2theta .
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- Prove that: cot^2A-tan^2A=4\ cot2A cos e c2A
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