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sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1...

`sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=`

A

5

B

15

C

13

D

12

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If 3 tan ^(-1)((1)/(2+sqrt(3)))-tan ^(-1) (1)/(x)=tan ^(-1) (1)/(3) th...

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  2. Solution of tan ^(-1)(1+x)+tan ^(-1)(1-x)=(pi)/(2) is

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  3. sec ^(2)(tan ^(-1) 2)+cosec^(2)(cot ^(-1) 3)=

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  4. The value of tan^(2) (sec^(-1) 2) + cot^2 ("cosec"^(-1) 3) is :

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  5. The value of , sec ^(-1)((x)/(a))-sec ^(-1)((x)/(b))=sec ^(-1) b-sec...

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  6. sin ^(-1)[cos (sin ^(-1) x)]+cos ^(-1)[sin (cos ^(-1) x)]=

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  7. If (cos ^(-1) x)^(2)-(sin ^(-1) x)^(2) gt 0 then

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  8. If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=

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  9. If x=sin^(-1) k, y=cos^(-1) k, -1 le k le 1, then the correct relation...

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  10. If sin ^(-1) x=(pi)/(5) then cos ^(-1) x=

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  11. If sin^(-1) ((2a)/(1 +a^(2))) + sin^(-1) ((2b)/(1 + b^(2))) = 2tan^(-1...

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  12. If tan ^(-1) x-tan ^(-1) y=-(pi)/(4) then

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  13. If sum(i=1)^(20) sin ^(-1) x(l)=10 pi then sum(i=1)^(20) x(i)=

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  14. If sec ^(-1) x+sec ^(-1) y+sec ^(-1) z=3 pi then x y+y z+z x=

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  15. tan ^(-1)((1)/(3))+tan ^(-1) (1)/(7)+tan ^(-1) (1)/(13)+…..+tan ^(-1) ...

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  16. Sum of ten terms of the series cot ^(-1) 3+cot ^(-1) 7+cot ^(-1) 13+...

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  17. If tan ^(-1)[(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1 x^(2)...

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  18. The value of cot ^(-1)((sqrt(1-sin x)+sqrt(1+sin x))/(sqrt(1-sin x)-sq...

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  19. If u=cot ^(-1)(sqrt(cos theta))-tan ^(-1)(sqrt(cos theta)) then x=

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  20. Sin^(-1) (x - (x^(2))/(2) + (x^(3)) /4+(-x^(4))/8) …....... + cos^(-1)...

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