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If sinalpha+sinbeta=a\ and\ cosalpha-cos...

If `sinalpha+sinbeta=a\ and\ cosalpha-cosbeta=b ,` then `tan((alpha-beta)/2)=` a. `-a/b` b. `-b/a` c. `sqrt(a^2+b^2)` d. none of these

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RD SHARMA ENGLISH-TRANSFORMATION FORMULAE-All Questions
  1. If (cosalpha+cosbeta)^2+(sinalpha+sinbeta)^2=lambdacos^2((alpha-beta)/...

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  2. If sin A+sin B=alpha\ a n d\ cos A+cos B=beta, then write the value of...

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  3. If cos A=m cos B , then write the value of cot((A+B)/2)cot((A-B)/2dot)

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  4. Write the value of the expression (1-4sin1 0^0sin7 0^0)/(2sin1 0^0)

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  5. If A+B=pi/3a n dcosA+cos B=1, then find the value of cos((A-B)/2dot)

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  6. Write the value of sin 12^0sin48^0sin54^0dot

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  7. If sin2A=lambdasin2B , then write the value of (lambda+1)/(lambda-1) .

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  8. Write the value of (sin A+sin3A)/(cos A+cos3A) .

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  9. If cos(A+B)sin(C-D)="cos"(A-B)"sin"(C+D) , then write the value of t a...

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  10. cos 40^0+cos 80^0+cos 160^0+cos 240^0= a. 0 b. 1 c. 1//2 d. -1//2

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  11. sin 163^0cos 347^0+sin 73^0sin 167^0= a.1//2 b. 1 c. 0 d. none of the...

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  12. If sin2theta+sin2varphi=1/2a n d\ cos2theta+cos2varphi=3/2 , then cos^...

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  13. The value of cos 52^0+cos 68^0+cos 172^0 is a. 0 b. 1 c. 2 d. 3//2

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  14. The value of sin 78^0-sin 66^0-sin 42^0+sin6^0 is a. -1 b. 1//2 c. -1/...

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  15. If sinalpha+sinbeta=a\ and\ cosalpha-cosbeta=b , then tan((alpha-beta)...

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  16. cos 35^0+cos 85^0+cos 155^0 a. adot\ 0 b. 1/(sqrt(2)) c. 1/(sqrt(3)) ...

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  17. The value of sin 50^(0)-sin 70^0+sin 10^0 is equal to a. 0 b. 1 c. 2 d...

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  18. If sin47^0+sin 61^0-sin 11^0-sin 25^0 is equal to a. adot\ sin36^0 b. ...

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  19. If cos A=mcosB ,\ t h e ncot((A+B)/2)cot((B-A)/2) adot\ (m-1)/(m+1) b...

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  20. If A ,\ B ,\ C are in A.P. then (sin A-sin C)/(cos C-cos A)= adot\ t ...

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