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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
- If x+a= a(2 cos theta-cos 2 theta) and y= a(2 sin theta- sin 2 theta),...
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- Show that the value of tan (theta+(pi)/(6)) cot( theta-(pi)/(6)) canno...
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- In a triangle of base a, the ratio of the other two sides is r (lt 1)....
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- In an acute angled triangle ABC, prove that tan^(2)a+tan^(2)B+tan^(2) ...
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- Given sin alpha+ cos alpha+tan alpha+ cot alpha+ sec alpha=7, find th...
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- If tan theta= sqrt((a-b)/(a+b))"tan"(A)/(2) and cos varphi =(b+ a cos ...
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- Solve : sqrt(tan alphax+ sin x)+ sqrt(tan x-sinx)=2 cos sqrt(tanx)
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- Determine the smallest positive value of x ( in degrees for which) ...
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- Find the value of "sin"(pi)/(18)"sin" (5pi)/(18)"sin"(7pi)/(18)
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- If tan alpha=(x)/(y), then show that x "cosec" (alpha)/(3)- y "sec" ...
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- In triangle ABC if A=60^(@), show that cos^(2)B+ cos^(2)C+ cos B cosC...
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- If sin x+ sin (x+y) sin (x+y+z)=0 and cos x+ cos (x+y)+cos (x+y+x)=0. ...
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- If tan^(2)z= tan (x+y) tan (x-y), show that cot^(2)y+ cot (z+x) cot (z...
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- If cos alpha, sin alpha and cot alpha are in G.P. show that tan^(6)alp...
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- Solve: 4[ sin^(4) theta+ sin^(4)(theta+(pi)/(4)) + sin^(4) (theta-(p...
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- Solve: tan^(2) theta+ sec 2 theta=1
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- Solve : e^(sin x+sqrt(3) cosx-1)=1 (-2pi lt x lt 2pi)
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- Solve : 3^(sin 2x+2cos^(2)x)+3^(1- sin2x+2sin^(2)x)=28
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- If x+y+z = n pi(n=0, +- 1,+-2,...)and (cos (y+z))/(cosx)+(cos(x+y))/(c...
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- If (sin (theta- alpha))/(sin (theta- beta))=(x)/(y) and (cos (theta- a...
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