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Show that sin^(- 1)(sin((33pi)/7))+cos^(...

Show that `sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-tan((13pi)/8))+cot^-1(cot(-(19pi)/8))=(13pi)/7`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...

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  2. If f(x)={{:(e^(|x|+|x|-1)/(|x|+|x|),":",xne0),(-1,":",x=0):} (where [...

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  3. Show that sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-ta...

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  4. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/a...

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  5. prove "lim"(xvecoo)(ln x)/([x])="lim"(xvecoo)([x])/(ln x) where [.]...

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  6. In which of the following function, range is not singleton set f(x)...

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  7. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

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  8. Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...

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  9. If A=([a(i j)])(3x3') such that a(i j)={2,,i=j0,i!=j ,t h e n |A|=8 ...

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  10. The domain of the function f(x)=(1)/(sqrt(""^(10)C(x-1)-3xx""^(10)C(x)...

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  11. Find the value of c for which the vectors vec a=(clog2x) hat i-6 hat ...

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  12. Show that the substitution z=ln(tan(x/2)) changes the equation (d^2y)/...

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  13. If cosx/2dotcosx/(2^2)dotcosx/(2^3)oo=(sinx)/x , then find the value o...

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  14. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x2)=f(x1+x2) (b)f(x+2)-...

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  15. Straight line |2-x-y4 4 2xx-y-2 2x2y2y y-x-2|=0 passes through the fix...

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  16. If f(x)=|"cos"(x+x^2)"sin"(x+x^2)-"cos"(x+x^2)"sin"(x-x^2)"cos"(x-x^2...

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  17. If y=(sin^(-1)x)^2+(cos^(-1)x)^2 , then (1-x^2) (d^2y)/(dx^2)-x(dy)/(d...

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  18. Let f:""(-1,""1) rarr R be a differentiable function with f(0)""=""-...

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  19. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

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  20. If x^m y^n=(x+y)^(m+n), prove that (dy)/(dx)=y/x .

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