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If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan...

If `x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R ,` then the value of `sec^2x` is_______

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

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  2. Each question contains statement given in two columns. Statement a,b...

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  3. If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R , then th...

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  4. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos...

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  5. Find the range of cot^(-1)(2x-x^2)

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  6. Prove : sin ^(-1) ""(5/13) + cos^(-1) (3/5) = tan^(-1) ""(63)/(16)

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  7. If [ 4 a 2 4 a 1 4 b 2 4 b 1 4 c 2 4c 1   ] [ ...

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  8. If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= (a)2sqrt(3)a (b)...

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  9. The value of k(k >0) such that the length of the longest interval ...

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  10. Which of the following pairs of function/functions has same graph? y=...

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  11. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible v...

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  12. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

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  13. If (sin^(-1)x+sin^(-1)w)(sin^(-1)y+sin^(-1)z)=pi^2, then D=|x^(N1)y^(N...

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  14. Indicate the relation which can hold in their respective domain for ...

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  15. If x&lt;0,t h e ntan^(-1)x is equal to

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  16. If -1&lt; x &lt; 0 , then cos^(-1)x is equal to (a) sec^(-1)(1/ x) (b)...

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  17. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1)6/x , then the value of x^4...

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

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  19. If alpha in (-(3pi)/2,-pi) , then the value of tan^(-1)(cotalpha)-cot^...

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  20. tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,forx in (-pi/2,(3pi)/2...

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