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If A+B+C=pi, prove that : (cosA)/(sinb s...

If `A+B+C=pi`, prove that : `(cosA)/(sinb sinC) + (cosB)/(sinC sin) + (cosC)/(sinA sinB) =2`.

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
LHS `=(1)/(2)(sin2A+sin2B+sin2C)/(sinAsinBsinC)=2`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-FACTORIZATION FORMULAE -EXERCISE 2
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  2. The value of sin\ pi/16 sin\ (3pi)/16 sin\ (5pi)/16 sin\ (7pi)/16 is

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  3. The value of cot70^(@)+4cos70^@ is

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  4. 2cos ""(pi)/(13)cos""(9pi)/(13)+cos""(3pi)/(13)+cos""(5pi)/(13)=0

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  5. If A+B+C=piandsinC+sinAcosB=0, then tanA.cotB is equal to

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  6. If x +y+z = 180^@, then cos2x + cos2y-cos2z is equal to

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  7. If A +B+C= pi and m/C is obtuse then tan A. tan B is

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  8. If A+B+C=180^(@), then (sin2A+sin2B+sin2C)/(cosA+cosB+cosC-1) is equal...

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  9. If A+B+C=270^@ , then cos2A+cos2B+cos2C+4sinAsin B sinC=

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

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  11. If A+B+C=180^(@), then the value of cot.(A)/(2)+cot.(B)/(2)+cot.(C)/(2...

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  12. In triangle A B C ,tanA+tanB+tanC=6 and tanAtanB=2, then the values of...

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  13. If a DeltaABC, the value of sinA+sinB+sinC is

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  14. If cosA=cosBcosC and A+B+C=pi, then the value of cotBcotC is

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  15. If sin theta+sin2theta+sin3theta=sin alpha and cos theta+cos 2theta+co...

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  16. tan2 0^0tan4 0^0tan6 0^0tan8 0^0

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  17. sin1 2^(@)sin4 8^(@)sin5 4^(@)=

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  18. If A, B, C, D be the angles of acyclic quadrilateral, show that : cosA...

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  19. If A+B+C=pi, prove that : (cosA)/(sinb sinC) + (cosB)/(sinC sin) + (co...

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  20. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

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