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MODERN PUBLICATION-TRIGONOMETRY-Exercise 3(g)Long Answer type Question-I
- Prove that: "sin" 4A=4 sin A cos^(3)A-4 cos A "sin"^(3)A.
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- If cos theta=(1)/(2)(alpha+(1)/(alpha)),prove that: (i) 2 cos 2thet...
03:46
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- If x+(1)/(x)=2costheta, then find the valueof x^(3)+(1)/(x^(3)).
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- Prove that: (i) cos A cos(60^(@)-A)cos (60^(@)+A)=(1)/(4)cos 3A ...
08:22
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- cos^2alpha+cos^2(alpha+120^0)+cos^2(alpha-120^0)=3/2
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- If tan^2theta=1+2tan^2phi then show that cos2theta+sin^2phi=0
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- Find sin x/2 ,cos x/2 and t a n x/2 of the following : s in" "x" "=1/...
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- (i) If "tan""(x)/(2)=(m)/(n),prove that m sin x+n cos x=n. (ii) If...
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- Prove that (cos^(3)theta-cos 3theta)/(cos theta)+("sin"^(3)theta+"sin"...
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- Evaluate: (i) "sin""(3pi)/(8) (ii) "sin""(5pi)/(24) (iii) "tan""(pi...
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- Prove that: s in^4pi/8+s in^4(3pi)/8+s in^4(5pi)/8+s in^4(7pi)/8=3/2
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- Prove that: (i) "sin"^(2)6x-"sin"^(2)4x="sin" 2x sin 10x (ii) c...
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- Find "sin" 7(1^(@))/(2),cos 7(1^(@))/(2) and "tan" 11(1^(@))/(4).
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- Prove that: "tan" 142(1^(@))/(2)=2+sqrt2-sqrt3-sqrt6.
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- Prove that cotxcot2x-cot2xcot3x-cot3xcotx=1
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- Prove that: (i) sin 3x+"sin" 2x-"sin" x =4 sin x cos((x)/(2))cos...
06:50
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- Prove that cos^2x+cos^2(x+pi/3)+cos^2(x-pi/3)=3/2
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- If cos theta=(cos phi-e)/(1-e cos phi),show that: "tan"(theta)/(2)...
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