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If cos^(-1)x + cos^(-1)y + cos^(-1)z = 3...

If `cos^(-1)x + cos^(-1)y + cos^(-1)z = 3pi,` then `xy + yz +zx` is equal to

A

0

B

1

C

3

D

`-3`

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
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  2. If sin^(-1)a+sin^(-1)b+sin^(-1)c=pi, then the value of asqrt((1-a^2))+...

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  4. If cos^(-1) sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1) sqrt(1-q)=(3pi)/(4), t...

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  6. sin(cot^(-1)x)=

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  7. If sin^(-1) ((2a)/(1+a^2))+ sin^(-1) ((2b)/(1+b^2)) = 2 tan^(-1)x then...

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  8. Let cos(2 tan^(-1) x)=1/2 then the value of x is

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  9. If cos(cot^(-1)((1)/(2)))=cot(cos^(-1)x), then a value of x is

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  10. If x gt 0, then the value of sin[cot^(-1)cos(tan^(-1)x)] is equal to -

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  11. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

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  15. tan((1)/(2).cos^(-1).(2)/(sqrt(5)))=

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  17. If 0lexle1 then sin{tan^(-1)(1-x^(2))/(2x)+cos^(-1)(1-x^(2))/(1+x^(-...

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  18. The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1...

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  19. cot^(-1)((sqrt(1+x^(2))-1)/(x))=

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  20. tan^(-1)""(1-x)/(1+x)=(1)/(2)tan^(-1)x,(xgt0)

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