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If Tan A = 1, TanB = 2, TanC = 3 then A ...

If Tan A = 1, TanB = 2, TanC = 3 then A + B + C =

A

`(npi)/(2),ninz`

B

`npi,ninz`

C

`(npi)/(4),ninz`

D

`(2npi)/(3),n in z`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-COMPOUND ANGLES-PRACTICE EXERCISE
  1. cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B =

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  2. If alpha,beta are acute angles, sin alpha = (4)/(5), tan beta = (5)/(1...

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  3. If A,B are acute angle, tan A=5/12 , cos B=3/5 , then cos (A+B)=

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  4. If A, B are acute angles, sin A =4/5 , tan B=5/12 , then sin (A+B)=

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  5. If Tan A = (17)/(18), TanB = (1)/(35) then Cos (A+B) =

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  6. If Tan = (1)/(2), Tan B = (1)/(3) then Tan (A+B) =

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  7. If cos A =-3//5 , sin B=7//25 and 90^(@) lt A lt 180^@,0^(@) lt B lt ...

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  8. If B,A+B are acute angle , sin(A+B)=12/13, sin B=5/13 then sin A =

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  9. If tan (A-B)=7//24 , tan A=4//3 " where " A,B are acute , then A+B=

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  10. If Tan A = (4)/(3), Tan B = (1)/(7) then A - B =

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  11. If 0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(...

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  12. If A+B+C=180^(@) " then " sum(cot A + cot B)/(tan A + tan B)=

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  13. If Tan A = 1, TanB = 2, TanC = 3 then A + B + C =

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  14. If A+B+C=720^(@) " then " tan A + tan B + tan C=

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  15. In Delta ABC, sum""(cos (B-C))/(sinB sin C )=

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  16. In DeltaABC, (CotB + CotC) (CotC + CotA) (CotA + CotB) =

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  17. CotA + CotB + CotC + (Cos(A+B+C))/(SinASinBSinC)=

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  18. If tan alpha , tan beta are the roots of the equation x^(2) + px+q=...

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  19. If sinx siny = 3 (cosy - cos x) then (sin3x)/(sin3y) =

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  20. Let fk(x)=(1)/(k)(sin^k x+ cos^k x) " where " x in R and k ge 1 . Then...

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