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MODERN PUBLICATION-TRIGONOMETRY-Revision Exerise
- Prove that : (tanA)/(1-cotA)+(cotA)/(1-tanA)=1+secA" cosec"A
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- Eliminate alpha between the equations : ("sin"^(2)alpha)/(cosalpha)...
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- 3(sin x- cos x )^(4) + 6(sin x+ cos x )^(2) +4 (sin ^(6) x+ cos ^(6) x...
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- Given, "sin" x = -(3)/(7) and x belongs to the third quadrant, obtain ...
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- If sec A = x+(1)/(4x)prove that: sec A + tan A = 2x or (1)/(2x) ...
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- If "sin" x + "sin"^(2) x = 1 show that: cos^(4)x + cos^(2)x = 1 ...
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- If acostheta-b sintheta =c; prove that a sin theta + b costheta = pmsq...
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- Prove that"sin"(pi)/(14)"sin"(3pi)/(14)"sin"(5pi)/(14)"sin"(7pi)/(14)=...
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- Prove that: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2
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- If (s in^4theta)/a+(cos^4theta)/b=1/(a+b) , prove that (s in^8theta)/...
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- If at a nalpha+bt a nbeta=(a+b)tan((alpha+beta)/2) , where alpha!=beta...
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- If alphaa n dbeta are the solutions of acostheta+bs intheta=c , then s...
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- If alpha and beta are the solution of the equation, a tantheta+bsecth...
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- If tanbeta=(Q"sin"alpha)/(P+Qcosalpha) Prove that "tan"(alpha-beta)=...
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- Prove that: cotthetacot2theta+cottheta2cot3theta+2=cottheta(cottheta-c...
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- Prove that:(cos 2A cos 3A -cos 2A cos 7A + cos A cos 10A)/("sin" 4A si...
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- If theta(1),theta(2),theta(3),".......",theta(n) are in AP whose commo...
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- If A+B+C = pi prove that cos 4A + cos 4B + cos 4C = -1 + 4 cos 2A co...
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- If A+B+C=pi, prove that : sin, (B+C)/(2) + sin, (C+A)/(2) + sin, (A+B)...
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- If A + B + C = 180^(@) prove that: (i) "sin" (B+C-A) + "sin"(C+ A-B)...
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