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If alpha + beta+gamma=pi, prove that sin...

If `alpha + beta+gamma=pi`, prove that `sin^2 alpha + sin^ beta - sin^2 gamma` = 2sinalpha sinbeta cosgamma`

A

`2 sinalphasin betacos gamma`

B

`2 sinalphasin betacos gamma`

C

`2cos alpha cosbetacosgamma`

D

none of these

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A
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
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  2. The expression tan^2alpha+cot^2alpha is

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  3. If alpha + beta+gamma=pi, prove that sin^2 alpha + sin^ beta - sin^2 g...

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  4. If tan((alphapi)/(4))=cot((betapi)/(4)), then

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  5. The roots of the equation 4x^2-2sqrt5 x +1=0 are .

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  6. The radius of the circle whose are of length 15\ pi cm makes an angle ...

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  7. If (cosA)/(cosB)=n and (sinA)/(sinB)=m,then (m^(2)-n^(2))sin^(2)B=

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  8. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

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  9. If cos(theta+phi)= mcos(theta-phi), then prove that tan theta=(1-m)/(1...

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  10. alpha & beta are solutions of a cos theta+b sin theta=c(cosalpha != ...

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  11. Let n be a positive integer such that sin(pi/2n) + cos(pi/2n) = sqrt(n...

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  12. cos^(4)theta-sin^(4)theta is equal to

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  13. If tan alpha =m/(m+1) and tan beta =1/(2m+1) , then alpha+beta is equa...

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  14. tan alpha+2tan2alpha+4tan4alpha+8cot8alpha is equal to

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  15. If cos theta-4sintheta=1, the sintheta+4costheta=

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  16. If A+C=2B, then (cosC-cosA)/(sinA-sinC)=

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  17. If A+B=C, then cos^(2)A+cos^(2)B+cos^(2)C-2cosAcosBcosC=

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  18. If 5cosx+12cosy=13, then the maximum value of 5sinx+12siny is (...

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  19. If x=tan15^(@),y=cosec75^(@),z=4sin18^(@)

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  20. For all values of theta,3-costheta+cos(theta+(pi)/(3)) lie in the inte...

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