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SIA PUBLICATION-TRIGONOMETRIC AND INVERSE TRIGONOMETRIC EQUATIONS -Problems
- The number of solutions of sec x cos 5x + 1 = 0 in the interval [0,2pi...
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- If cos(cot^(-1)(1/2))=cos (cos^(-1)x) then a vaue of x is
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- If tan theta tan (120^(@)-theta)tan (120^(@)+theta)=1//sqrt(3), then t...
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- If sin^(-1)(x-x^2/2+x^3/4-….oo)+cos^(-1)(x^2-x^4/2+x^6/4-….oo)=pi/2 an...
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- The sum of the solutions in (0,2pi) for the equation cosx cos (pi/3-x...
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- If x > 0 , y > 0 , z > 0 , xy+yz+zx < 1 and if tan^(-1)x+tan^(-1)y + t...
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- The set of solutions of the system of equations x+y=(2pi)/3 and cosx...
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- If cos^(-1)(5/13)+cos^(-1)(3/5)=cos^(-1)x, then x is equal to
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- If tanx+tan(x+pi/3)+tan(x+(2pi)/3)=3, then tan 3x is equal to
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- If 1/2 le x le 1, then cos^(-1)x+cos^(-1)(x/2+1/2sqrt(3-3x^2)) is equ...
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- The most general value of theta which satisfies both the equations tan...
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- (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8 rArr x =
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- The set of solutions of the equation, (sqrt3-1)sin theta + (sqrt3+1)c...
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- If tan^(-1)x + tan^(-1)y+tan^(-1)z=pi/2, then 1-xy-yz-zx is equal to
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- If 3 cosx ne 2 sin x , then the general solution of sin^2x-cos2x=2-si...
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- cos^(-1)((-1)/2)-2 sin^(-1)(1/2)+3 cos^(-1) ((-1)/sqrt2) -4 tan^(-1) (...
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- { x in R : cos 2x + 2cos^2 x =2} is equal to
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- If sin^(-1)(3/x)+sin^(-1)(4/x)=pi/2, then x is equal to
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- The value of x , where x > 0 and tan (sec^(-1)(1/x))=sin(tan^(-1)(2)) ...
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- If cos2x=(sqrt2+1)(cosx-1/sqrt2), cos x ne 1/2, then x belong to
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