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RD SHARMA-TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES-Solved Examples And Exercises
- If sinx=(sqrt(5))/3a n d\ x lies in IInd quadrant, find the values of ...
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- Prove that 1+cos^2 2x=2(cos^4x+sin^4x)
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- If costheta=4/5 and theta is acute, find the tan2theta
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- If sinx=4/5 and 0ltxltpi/ 2, find the value of sin4x
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- Prove that: \ cos7^0cos 14^0cos 28^0cos 56^0=(s in 68^0)/(16cos83^0)
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- Prove that: cos(pi/5)cos((2pi)/5)cos((4pi)/5)cos((8pi)/5)=(-1)/16
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- cos((2pi)/65)cos((4pi)/65)cos((8pi)/65)cos((16pi)/65)=1/16
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- If 2\ t a nalpha=3t a nbeta, prove that tan(alpha-beta)=(sin2beta)/(5...
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- sinalpha+sinbeta=a ,cosalpha+cosbeta=b=>sin(alpha+beta)
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- If sinalpha+sinbeta=a and cosalpha+cosbeta=b prove that: cos(alpha-bet...
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- If costheta=(cosalpha+cosbeta)/(1+cosalphacosbeta),\ prove that tanth...
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- If sec(theta+alpha)+sec(theta-alpha)=2\ s e ctheta, prove that costhet...
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- If cos alpha=4/5 and cos beta =5/13, prove that cos (alpha-beta)=56/65
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- Prove that: 8cos^3pi/9-\ 6cospi/9=1.
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- Prove that: 108sinpi/(18)-144sin^3pi/(18)=18
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- Prove that cos6x=32cos^6x-48cos^4x+18cos^2x-1
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- Prove that : cos Acos(60-A)cos(60+A)=1/4cos3A
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- Prove that: sin A sin(60-A)sin(60+A)=1/4sin3Adot
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- Prove that: "sin"20^0"sin"40^0"sin"60^0"sin"80^0=3/(16)
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- prove sin(5theta) = 16sin^5(theta)-20sin^3(theta)+5sin(theta)
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