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Match the statements/expressions given in Column I with the values given in Column II. Column I, Column II `sum_(i=1)^ootan^(-1)(1/(2i^2))=1,t h e ntant=` , Sides `a , b , c` for a triangle ABC are in A.P. and `costheta_1=a/(b+c),` `costheta_2=b/(a+c),` `costheta_3=c/(a+b),` then `tan^(2)((theta_1)/2)+tan^2((theta_3)/2)=` , 1 A line is perpendicular to `x+2y+2z=0` and passes through (0,10). The perpendicular distance of this line from the origin is , `(sqrt(5))/3`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the sum of the following AP -37, -33, -29, …… to 12 terms.

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  2. Let (x , y) be such that sin^(-1)(a x)+cos^(-1)(y)+cos^(-1)(b x y)=pi/...

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  3. Match the statements/expressions given in Column I with the values giv...

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  4. sum(r=1)^nsin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1))))is equal to (a...

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  5. Prove that: sum(m=1)^ntan^(-1)((2m)/(m^4+m^2+2))=tan^(-1)((n^2+n)/(n^2...

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  6. The greater of the two angles A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(...

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  7. The numerical value of "tan"(2tan^(-1)(1/5)+pi/4) is equal to

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  8. The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...

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  9. The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi...

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  10. Find the sum of given below: 34 + 32 + 30 + … + 10

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  11. If x , y , z are natural numbers such that cot^(-1)x+cot^(-1)y=cot^(-1...

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  12. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi/2,t h e n x+y+z-x y z=0 x+...

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  13. If x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+...

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  14. If cot^(-1)x+cot^(-1)y+cot^(-1)z=pi/2,x , y , z >0a n dx y<1, then x+y...

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  15. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n (a) x^2+y^2+z^2+x y z=0 ...

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  16. If 0 < cos^-1(x) <1 and 1+sin(cos^(-1)x)+sin^2(cos^(-1)x)+sin^3(cos^(...

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  17. The least value of (1+sec^(-1)x)(1+cos^(-1)x) is

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  18. Find the value of cot^(-1)(3/4)+sin^(-1)(5/13)

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  19. If (x -1) (x^(2) + 1) gt 0, then find the value of sin((1)/(2) tan^(-1...

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  20. Solve sin^(-1)xlt=cos^(-1)xdot

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