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Evaluate: 4(2tan^(-1)(1/3)+tan^(-1)(1/7)...

Evaluate: `4(2tan^(-1)(1/3)+tan^(-1)(1/7))`

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tan^(-1) (1/2)+ tan^(-1) (1/3) -

Evaluate : 4 (2 tan ^(-1)""(1)/(3)+tan ^(-1)""(1)/(7))

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Show that , 4 (2 tan ^(-1) ""(1)/(3)+tan ^(-1)""(1)/(7)) =pi

Prove that, tan^(-1) (4/3) + tan^(-1) (12/5) = pi - tan^(-1)(56/33) .

Evaluate {sin(2tan^-1 (1/3))} + {cos(tan^-1(2sqrt2))} where {.} denotes the fractional part function

answerer any one of the foll. :(ii) if two angles of a triangle are tan^(-1) (1/2) and tan^(-1) (1/3) , then find the third angle.

The value of tan^(-1).(4)/(7) + tan^(-1).(4)/(19) + tan^(-1).(4)/(39) + tan^(-1).(4)/(67) ... oo equals

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Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-1)(1/3)) cos(pi/2-sin^(-1)(3/4)) (log)_2("sin"1/4sin^(-1)(63/8)] tan(1/2cos^(-1)(sqrt(5)/3))

UNITED BOOK HOUSE-QUESTION PAPER 2016-EXERCISE
  1. If |veca|=4,|vecb|=2 sqrt3 and |vecaxxvecb|=12 then the angle between ...

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  2. IF f(x)= logx(logx) then the value of f'(e) is

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  3. Evaluate: 4(2tan^(-1)(1/3)+tan^(-1)(1/7))

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  4. Evaluate: |[alpha, beta,gamma],[alpha^2,beta^2,gamma^2],[beta+gamma,ga...

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  5. IF A = ([2,-1],[-1,2]) and A^2-4A+3I = 0, where I is the unit matric o...

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  6. If f(x) = {(|sinx|/x, when x=0),(1, when x!=0):} then examine the co...

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  7. Find the differential coefficient of sin^(-1)((2x)/(1+x^2)) with respe...

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  8. Evaluate: int{1/(logex)-1/(logex)^2}dx

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  9. Find the differential equation of all circles which touch the x-axis a...

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  10. Evaluate: underset(x rarr 0)lim(loge(1+alphax)/(e^(2x)-1))

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  11. IF the projection of veca= lambda hati+hat j+4 hat k on vec b= 2hati+6...

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  12. Find the angle between the planes x-y+2z=9 and 2x+y+z=7.

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  13. If P(A//B)= 0.75, P(B//A) = 0.6 and P(A)=0.4 find the value of P(barA/...

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  14. If the number of heads obtained is denoted by X when two unbiased coin...

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  15. A relation R is defined on the set of all natural numbers IN by: (x,y)...

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  16. If sin^(-1)x+sin^(-1)y+sin^(-1)z = pi then prove that xsqrt(1-x^2)+...

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  17. Express the matric A= [[-3,4,1],[2,3,0],[1,4,5]] as the sum of a symme...

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  18. If p,q,r are not in geometric progression and |[1,q/p,alpha+q/p],[1,r/...

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  19. Prove that,abs((a^2+1,ab,ac),(ab,b^2+1,bc),(ca,cb,c^2+1))=1+a^2+b^2+c^...

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  20. If siny = x sin(a+y) then show that (dy)/(dx)= (sina)/(1-2xcos a+x^2).

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