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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
- If alpha, beta , gamma lengths of the altitudes of a triangle ABC, pro...
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- If a sin theta+ b cos theta=0,then find theta
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- If cos^(3) theta = kcos (alpha- 3 theta) and sin ^(3) theta= ksin (alp...
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- Show that the general solution of sin x- 3 sin 2x+sin 3x= cos x-3 cos ...
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- If k is a positive integer, show that 2[ cos x+ cos 3x+ cos 5x+ ..+ ...
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- If alpha=(pi)/(8 n) then prove that sin^(2) alpha+ sin^(2)3 alpha+ sin...
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- If sin A+ tan A= a and cos A+ cot A= b, then show that (1+a)^(-2)+(1...
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- If a^(2)(1- sin theta) +b^(2)(1+ sin theta)= 2 ab cos theta then show ...
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- Show that (1+ sin A)/(cosA)+( cos B)/(1- sin B)=(2 (sin A- sin B))/(...
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- If n is positive integer and "cos" (pi)/(2n)+"sin" (pi)/(2n) =(sqrt(n)...
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- Solve : sec theta+"cosec" theta=2 sqrt(2)
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- Solve : tan^(3) theta+ cot^(3) theta= 8 "cosec"^(3) 2 theta+12
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- Solve : ("sin" (x)/(2) "cos" (x)/(2))/(1-8 "sin"^(2)(x)/(2) "cos"^(2...
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- Solve : cos theta cos 2 theta cos 3 theta =(1)/(4) (0 le theta le p...
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- If cos beta is the geometric mean of sin alpha and cos alpha, then sho...
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- Prove that "sin" (pi)/(14)"sin" (3pi)/(14) "sin" (5pi)/(14) "sin" (7p...
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- The sides of a triangles are in A.P.and the greatest angle exceeds the...
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- Let 0 lt x lt pi, 0 lt y lt pi and cos x+ cos y - cos (x+y)=(3)/(2). ...
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- Eliminate x and y from the following equations : a sin ^(2)+ b cos^(2)...
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- Find the root of equation 2x^2+3 x + 11=0.
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