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If A, B and C be the angles of a triangl...

If A, B and C be the angles of a triangle, then which of the following is incorrect relation :

A

`sin""(A+B)/(2)=cos""(C )/(2)`

B

`cos((A+B)/(2))=sin""(C )/(2)`

C

`tan""((A+B)/(2))=sec""(C )/(2)`

D

`cot""((A+B)/(2))=tan""(C )/(2)`

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. Find the value of tan80^(@)

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  2. If tan((pi)/(2)-(theta)/(2))=sqrt(3), then the value of costheta is.

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  3. If A, B and C be the angles of a triangle, then which of the following...

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  4. If cosecA=2, then (1)/(tanA)+(sinA)/(1+cosA)=?

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  5. If tanA=sqrt(2)-1, then sin2A = ?

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  6. (5sin^(2)30^(@)+cos^(2)45^(@)-4tan^(2)30^(@))/(2sin30^(@).cos30^(@)+ta...

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  7. (cos(90^(@)-theta).sec(90^(@)-theta).tantheta)/(cosec(90^(@)-theta).si...

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  8. If alpha is in first quadrant such that tan^(2)alpha=(8)/(7), then the...

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  9. (kcosec^(2)30^(@).sec^(2)45)/(8cos^(2)45^(@).sin^(2)60^(@))=tan^(2)60^...

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  10. If alpha is in Ist quadrant such that sec^(2)alpha=3, then (tan^(2)alp...

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  11. If 5alpha and 4alpha are in Ist quadrant such that sin5alpha=cos4alpha...

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  12. If (sintheta+cosectheta)^(2)+(costheta+sectheta)^(2)=K+tan^(2)theta+co...

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  13. (sinalpha+secalpha)^(2)+(cosalpha+cosecalpha)^(2)=(K+secalphacosecalph...

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  14. (sintheta)/(cottheta+cosectheta)-(sintheta)/(cottheta-cosectheta)=?

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  15. If (tanA)/(1-cotA)+(cotA)/(1-tanA)=K+tanA+cotA then K = ?

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  16. If (cos^(2)theta)/(1-tantheta)+(sin^(3)theta)/(sintheta-costheta)=K+si...

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  17. ((1-sintheta+costheta)^(2))/((1+costheta)(1-sintheta))=?

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  18. sec^(6)theta-tan^(6)theta-3tan^(2)theta.sec^(2)theta=?

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  19. cosec^(6)theta-cot^(6)theta-3cot^(2)theta.cosec^(2)theta=?

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  20. ((cosectheta-sectheta)(cottheta-tantheta))/((cosectheta+sectheta)(sect...

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