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UNITED BOOK HOUSE-TRIGONOMETRY-EXERCISE
- If (a^(2)-b^(2))sin theta+2 ab cos theta-(a^(2)+b^(2))=0, then prove t...
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- If (ax)/costheta+(by)/(sintheta)=a^2-b^2 and (axsintheta)/(cos^2theta)...
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- If cos^4x/cos^2y+sin^4x/sin^2y=1,show that cos^4y/cos^2x+sin^4y/sin^2x...
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- Show that 1/3le(sec^2theta-tantheta)/(sec^2theta+tantheta)le3
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- If sectheta=secalphassecbeta+tanalphatanbeta,show that tantheta=+-(sec...
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- If n^2sin^2(alpha+beta)=sin^2alpha+sin^2beta-2sinalphasinbetaxxcos(alp...
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- If (a+b)tan(theta-phi)=(a-b)tan(theta-phi)and acos2phi+bcos2theta=csho...
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- If (tan3alpha)/(tanalpha)=lambda,show that (sin3alpha)/(sinalpha)=(2la...
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- Prove that cos^8(pi/8)+cos^8((3pi)/8)+cos^8((5pi)/8)+cos^8((7pi)/8)=17...
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- Solve :sqrt(tanx+sinx)+sqrt(tanx-sinx)=2cosxsqrttanx
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- Solve :3^(sin2x+2cos^2x)+3^(1-sin2x+2sin^2x)=28
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- Solve :tan(x-pi/4)tanx tan(x+pi/4)=(4cos^2x)/(tan(x/2)-cot(x/2))
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- Solve :sqrt(2cos^2x+1)+sqrt(2sin^2x+1)=2sqrt2
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- Show that cos(pi/11)+cos((3pi)/11)+cos((5pi)/11)+cos((7pi)/11)+cos((9p...
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- In an acute angled triangle ABC, show that tan^2A+tan^2B+tan^2Cge9
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- If the medians of a triangle ABC makes anglesalpha,beta,gammawith each...
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- If cos^3theta=kcos(alpha-3theta)and sin^3theta=k sin(alpha-3theta),sho...
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- show that cos^2(pi/9)+cos^2((2pi)/9)+cos^2((4pi)/9)=3/2
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- Show that tan70^@+tan10^@-tan50^@=sqrt3
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- In /\ABC, show that the minimum value of tan^2 (A/2) + tan^2 (B/2) + t...
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