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If x=ycos((2pi)/3)=zcos((4pi)/3), then x...

If `x=ycos((2pi)/3)=zcos((4pi)/3)`, then xy+yz+zx=

A

`-1`

B

0

C

1

D

2

Text Solution

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The correct Answer is:
B
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ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=

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  2. If A=tan6^0tan42^0 and B=cot66^0cot78^0 , then

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  3. If x=ycos((2pi)/3)=zcos((4pi)/3), then xy+yz+zx=

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  4. If tanalpha=(1+2^(-x))^(-1), tanbeta=(1+2^(x+1))^(-1), then alpha+beta...

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  5. If tanA+tanB+tanC=tanA.tanB.tanC, then-

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  6. The value of sin10^(@)+2sin20^(@)+sin30^(@)+….+sin360^(@) is equal to

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  7. The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

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  8. If f(x)=sin(3x)/sin x,x!=npi, then the range of values of f(x) for ...

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  9. If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0, then cot((x+y)/2...

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  10. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

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  11. Maximum and minimum value of 2sin^(2)theta-3sintheta+2 is-

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  12. For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+...

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  13. Minimum value of the expression cos^2theta-(6 sintheta cos theta) + 3 ...

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  14. The general solution of tan3x=1 is

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  15. If 2tan^(2)theta=sec^(2)theta, then the general solution of theta-

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  16. Number of principle solution(s) of the equation 4.16^(sin^(2)x) = 2^(6...

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  17. If tantheta-sqrt2sectheta=sqrt3 then find the general solution of thet...

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  18. The number of solution of the equation tan^(2)-sec^(10)x+1=0 in (0,10)...

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  19. The solution set of (5+4costheta)(2costheta+1)=0 in the interval [0,2p...

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  20. The equation sinx cosx=2 has:

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