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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
- If sin^(-1)frac[x][5]+cosec^(-1)frac[5][4]=frac[pi][2], then what is t...
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- What is the value of sin(tan^(-1)x+tan^(-1)frac[1][x]),xgt0 ?
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- Express each of e^x function as the sum of an even function and an odd...
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- Express each of x^2 function as the sum of an even function and an odd...
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- Let f(x)={(1, x in Q), (0, x in R-Q):} and g(x)={(1, x in R-Q), (0, x ...
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- Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}...
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- Determine if the binaary operation o on the set R of real numbers defi...
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- On the set R of real numbers, a binary operation o is defined by a0b=a...
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- Find the idenity and inverse if any for the binary operation ** on Q-{...
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- Find the identity elements if any for the binary operations defined by...
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- Find the identity elements if any for the binary operations defined by...
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- Let f:Rto(-1,1) be defined by f(x)=x/(1+x^2),x in R. Find f^(-1) if ex...
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- Show that AxxA is an equivalence relation on a non-empty set A. What i...
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- Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...
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- Let R be the relation on Z defined by aRb iff a-b is an even integer. ...
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- Prove that cos tan^(-1)sin cot^(-1)x=sqrt((1+x^2)/(2+x^2).
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- Directions (Q. Nos. 16-25) Prove the following "cos"(2"tan"^(-1)1/(7...
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- Prove that 2tan^-1(cosectan^-1x-tancot^-1x=tan^-1x.
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- 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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