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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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If sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos.(46pi)/(7)) +tan^(-1)(-tan.(13pi)/(8))+cot^(-1)(-cot.(19pi)/(8))=(api)/(b) , where a and b are constant, then (a+b) is equal to

cot^(-1)(cot((-46 pi)/(7)))

cos^(-1)(sin((pi)/(7)))

The value of sin^(-1)(sin((47 pi)/(7)))+cos^(-1)cos((60 pi)/(7))+tan^(-1)(-(tan)(29 pi)/(8))+cot^(-1)(cot(-(35 pi)/(8)))

tan^(-1)(tan((-33 pi)/(7)))

Show that sin ^ (- 1) ((sin (3 pi)) / (7)) + cos ^ (- 1) ((cos (46 pi)) / (7)) + tan ^ (- 1) (- (tan (13 pi)) / (8)) + cot ^ (- 1) (cot (- (19 pi) / (8))) = (13 pi) / (7)

tan^(-1){tan(-(7 pi)/(8))}

sin ^ (- 1) sin ((23 pi) / (7)) + cos ^ (- 1) cos ((39 pi) / (7))

Evaluate the following: sin^(-1)(sin(pi)/(4)) (ii) cos^(-1)(cos2(pi)/(3))tan^(-1)(tan(pi)/(3))

RESONANCE DPP-JEE MAINS-All Questions
  1. Prove that int0^2|x^2+2x-3|dx=4

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  2. 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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  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/...

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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. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

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  10. 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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  11. Which of the following intervals is possible domain of the function...

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  12. The domain of the function f(x)=1/(sqrt(^(10)C(x-1)-3.^(10)Cx)) conta...

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  13. The set of values of lambda for which the vectors vec a=(lambda(log)2...

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  14. Which of the following is true?

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

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

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

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  18. 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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  19. 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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  20. Let f:(-1,1)vecR be a differentiable function with f(0)=-1 and f^(prim...

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