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If Sn=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(1...

If `S_n=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+ddotn` terms, then `S_(10)=tan^(-1)(5/6)` `S_oo=pi/4` (c) `S_6=sin^(-1)(4/5)` (d) `S_(20)=cot^(-1)1. 1`

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. Let alpha=som^(-1)((36)/(85)),beta=cos^(-1)(4/5)a n dgamma=tan^(-1)(8/...

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  3. If Sn=cot^(-1)(3)+cot^(-1)(7)+cot^(-1)(13)+cot^(-1)(21)+ddotn terms, ...

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  4. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

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  5. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then

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  6. The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a...

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  7. If sin^(-1)x=2sin^(-1)alpha has a solution, then

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  8. If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equ...

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  9. The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec...

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  10. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

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  11. The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(...

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  12. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

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

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

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

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

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

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

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