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Find the value of sin [ arc cos (- 1/2)]...

Find the value of `sin [ arc cos (- 1/2)]`

A

`1/sqrt2`

B

1

C

`sqrt3/2`

D

None of these

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
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  3. Find the value of sin [ arc cos (- 1/2)]

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  4. The positive integral solution of "tan"^(-1)x+"cos"^(-1)(y)/(sqrt(1+...

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

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

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

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

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

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

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

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

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

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

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  18. If "sin"^(-1)((6x)/(1+9x^2))=2 "tan"^(-1)(ax), then a=

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  19. tan(tan^-1x+tan^-1y+tan^-1z)-cot(cot^-1x+cot^-1y+cot^-1z) is equal to

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  20. The value of tan^(-1)1/3+tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8 is ……..

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