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If sin^(-1)frac[x][5]+cosec^(-1)frac[5][...

If `sin^(-1)frac[x][5]+cosec^(-1)frac[5][4]=frac[pi][2]`, then what is the value of x?

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USHA PUBLICATION-RELATION AND FUNCTION INVERSE TRIGONOMETRIC FUNCTIONS LINEAR PROGRAMMING-EXERCISE
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  2. What does the solution set of the inequation 2x+ygt5 represents?

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  3. If sin^(-1)frac[x][5]+cosec^(-1)frac[5][4]=frac[pi][2], then what is t...

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  4. What is the value of sin(tan^(-1)x+tan^(-1)frac[1][x]),xgt0 ?

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  5. Express each of e^x function as the sum of an even function and an odd...

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  6. Express each of x^2 function as the sum of an even function and an odd...

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  7. 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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  8. Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}...

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  9. Determine if the binaary operation o on the set R of real numbers defi...

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  10. On the set R of real numbers, a binary operation o is defined by a0b=a...

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  11. Find the idenity and inverse if any for the binary operation ** on Q-{...

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  12. Find the identity elements if any for the binary operations defined by...

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  13. Find the identity elements if any for the binary operations defined by...

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  14. 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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  15. Show that AxxA is an equivalence relation on a non-empty set A. What i...

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  16. Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...

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  17. Let R be the relation on Z defined by aRb iff a-b is an even integer. ...

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  18. Prove that cos tan^(-1)sin cot^(-1)x=sqrt((1+x^2)/(2+x^2).

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  19. Directions (Q. Nos. 16-25) Prove the following "cos"(2"tan"^(-1)1/(7...

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  20. Prove that 2tan^-1(cosectan^-1x-tancot^-1x=tan^-1x.

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