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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
- Prove that 1/2cos^-1x=sin^-1sqrt((1-x)/2)=cos^-1sqrt((1+x)/2).
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- If cos^-1x+cos^-1y+cos^-1z=pi, prove that x^2+y^2+z^2+2xyz=1.
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- Slove: tan(cos^-1x)=sin(cot^-1""1/2)
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- Find the feasible region of the inequations x+2ylt8, 2x+ylt8 and xgt0,...
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- Find the feasible region of the inequations 2x1+4x2gt40, 3x1+2x2gt60, ...
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- Shade the feasible region satisfying ineuations x1+2x2ge10, 2x1+2x2ge1...
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- Shade the feasible region satisfying ineuations x+2yle10, x+yge1, x-yl...
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- Shade the feasible region satisfying ineuations 4x+3yle60, 2x-yle0, x-...
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- Prove that the following sets A,B,C D are equivalent. WhereA={1,2,3,4,...
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- Let n be a positive integer,and a function f be defined as follows:{(0...
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- Let f be an invertible function . Then prove that (f^(-1))^(-1) = f.
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- If P(A/B) gt P(A) then prove that P(B/A) gt P(B)
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- If :f(x)=log((1+x)/(1-x)),then show that f(a)+f(b)=f((a+b)/(1+ab))and ...
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- If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)...
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- If "sin"^(-1)(x/a) + "sin"^(-1) (y/b)=alpha "prove that" x^2/a^2+(2xy)...
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- Solve:Sin^-1x+sin^-1(1-x)=cos^1x
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- Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).
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- If: tan (pi cos""theta/2)=cot(pisin"theta/2),then show thattheta=sin^1...
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- Maximize Z=6x1+10x2subject to x1+2x2gt10,2x1+2x2gt12,3x1+x2gt8,x1,x2gt...
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- Solve graphically 4x+7yle28
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