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If underset(i=1)overset(n)sum cos^(-1) a...

If `underset(i=1)overset(n)sum cos^(-1) alpha_(i)=0," then "underset(i=1)overset(n)sum alpha_(i)=`

A

n

B

2n

C

`(n(n+1))/(2)`

D

None of these

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The correct Answer is:
B
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
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  4. Complete solution set of tan^2(sin^(-1)x)>1 is (-1,-1/(sqrt(2)))uu(1/(...

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  8. If "tan"^(-1)(x+1)+cot^(-1)(x-1)="sin"^(-1) (4/5) + cos^(-1) (3/5), th...

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  9. If sin(cot^(-1)(x+1))=costan^(-1)x, then x=

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  10. sin(sin^(-1)((1)/(3))+sec^(-1)(3))+cos(tan^(-1)(1)/(2))+tan^(-1)2)=

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

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  12. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

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  13. If cosec^(-1)x=2cot^(-1)7+cos^(-1)((3)/(5)), then x=

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  14. sin(2sin^(-1) 0.8)=

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  15. The value of cos[2 tan^(-1)(-7)] is

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  16. If 2 sin^(-1)x - cos^(-1)x = pi/2, then x is equal to

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  17. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  18. If (tan^(-1) x)^2 + (cot^(-1) x)^2 = (5pi^2)/8 then x equals

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  19. Prove that tan^(-1)(3a^(2)x-x^(3))/(a^(3)-3ax^(2))=3tan^(-1)x/a.

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  20. If 4 "sin"^(-1)x+"cos"^(-1)x=pi, then x is equal to

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