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If A+B+C=180^(@), then sin2A+sin2B+sin2C...

If `A+B+C=180^(@)`, then `sin2A+sin2B+sin2C=?`

A

`4sinAsinBcosC`

B

`4cosAcosBcosC`

C

`4sinAsinBsinC`

D

`8sinAsinBsinC`

Text Solution

Verified by Experts

The correct Answer is:
C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. If A+B+C=pi, then cos2A+cos2B+cos2C=?

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  2. If A, B, C are angles of a triangle, then sin^(2)A+sin^(2)B+sin^(2)C-2...

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  3. If A+B+C=180^(@), then sin2A+sin2B+sin2C=?

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  4. cos52^(@)+cos68^(@)+cos172^(@)=?

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

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  6. The equation (a+b)^(2)=4ab sin^(2)theta is true if and only if

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  7. If (sinA-sinC)/(cosC-cosA)=cotB, then A, B, C are in

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  8. If bsinalpha=asin(alpha+2beta), then (a+b)/(a-b)=?

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  9. tan10^(@)-tan50^(@)+tan70^(@)=?

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  10. cos^(3)10^(@)+cos^(3)110^(@)+cos^(3)130^(@)=?

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  11. For what value of alpha does the equation 4cosalpha+3cos2alpha-2sin3al...

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  12. If (sinA+sinB+sinC)^(2)=sin^(2)A+sin^(2)B+sin^(2)C, then which one is ...

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  13. A and B started a business after investing Rs. 12,000 and Rs. 14,400 r...

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  14. If cos A = tan B, cos B = tan C and cos C = tan A then show that sin A...

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  15. A & B invest Rs. 1,16,000 & 1,44,000 respectively. B invests for 6 mon...

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  16. If acos^(3)alpha+3cosalphasin^(2)alpha=m and asin^(3)alpha+3cos^(2)alp...

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  17. If y=acos^(2)x+2bsinxcosx+csin^(2)xandz=asin^(2)x-2bsinxcosx+c cos^(2)...

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  18. If A+B+C=pi, then (cosA)/(sinBsinC)+(cosB)/(sinCsinA)+(cosC)/(sinAsi...

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  19. If sinA, cosA and tanA are in G.P., then cos^(3)A+cos^(2)A=?

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  20. If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P., then costhe...

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