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Let (x , y) be such that sin^(-1)(a x)+c...

Let `(x , y)` be such that `sin^(-1)(a x)+cos^(-1)(y)+cos^(-1)(b x y)=pi/2dot` Match the statements in column I with statements in column II `Ifa=1a n db=0,t h e n(x , y)` , (p) lies on the circle `x^2+y^2=1` `Ifa=1a n db=1,t h e n(x , y)` , (q) `l i e son(x^2-1)(y^2-1)=0` `Ifa=1a n db=2,t h e n(x , y)` , (r) lies on `y=x` `Ifa=2a n db=2,t h e n(x , y)` , (s) lies on `(4x^2-1)(y^2-1)=0`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the value of tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A),

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  2. Simplify tan^-1[3sin2α/(5+3 cos⁡〖2 α〗 )] + tan-1[tan⁡α/4] , where -π/2...

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

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  4. Matching.

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

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  6. sum(m-1)^ntan^(-1)((2m)/(m^4+m^2+2)) is equal to (a) tan^(-1)((n^...

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

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  8. Find the value of tan(2tan^(-1)((1)/(5))-(pi)/(4))

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

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

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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 (a) x+y+z-x y z=0 (b) ...

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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+c a s^(-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 the following in equality sin^(-1)xlt=cos^(-1)xdot

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