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If sin(120^0-alpha)=sin(120^0-beta),0<al...

If `sin(120^0-alpha)=sin(120^0-beta),0

A

`alpha = beta`

B

`alpha = beta` or `alpha + beta = ( pi )/( 3)`

C

`alpha + beta =0, alpha + beta = ( pi )/( 3)`

D

none of these

Text Solution

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The correct Answer is:
B
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ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)
  1. Let alpha, beta be such that pi lt alpha - beta lt 3pi . If sin alpha...

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  2. The roots of both the equation sin^(2) x + p sin x + q = 0 and cos^(2...

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  3. If sin(120^0-alpha)=sin(120^0-beta),0<alpha,beta<pi, then find the rel...

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  4. If A=130^(@) and x=sinA+cosA, then

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  5. If alphaa n dbeta are the solutions of the equation at a ntheta+bs e c...

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  6. If a cos 2 theta + b sin 2 theta =c has alpha and beta as its solut...

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  7. and tan alpha tan beta =

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  8. If alpha and beta are two distinct solutions of the equation a cos x +...

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  9. If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals 2(tanbet...

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  10. If tan alpha = ( 1)/( 7 ), tan beta = ( 1)/( 3), then cos 2 alpha=

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  11. If A = sin 45^(@)+ cos 45^(@) and B = sin 44^(@) + cos 44^(@) then

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  12. If costheta=(acosphi+b)/(a+bcosphi). Show that : tan.(theta)/(2)=pmsqr...

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  13. If cos theta =(cos alpha - cos beta)/( 1- cos alpha cos beta), then on...

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  14. If tanbeta=costhetatanalpha, then "tan"^(2)(theta)/(2)=

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  15. If tan^(2) (( pi )/( 4) + ( theta )/( 2)) = - ( a )/( b), then

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  16. If tan ( A+B) = 3 tan A, then ( sin 2 ( A+B) + sin 2A)/( sin 2B) is e...

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  17. If cos2B=(cos(A+C))/(cos(A-C)), then tan A, tan B, tan C are in

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  18. If cot y= (sin x- sin z)/(cos z- cos x) then which of the following ...

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  19. If sin(y+z-x), sin (z+x-y), sin (x+y-z) be in A.P., prove that tanx ta...

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  20. If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...

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