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If tan""[(pi)/4 + theta ]+tan[(pi)/(4)- ...

If `tan""[(pi)/4 + theta ]+tan[(pi)/(4)- theta ]=a " then " tan^(3)[(pi)/(4)+ theta ] + tan^(3)[(pi)/(4)- theta]=`

A

0

B

a

C

3a

D

`a^(3) - 3a`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-COMPOUND ANGLES-PRACTICE EXERCISE
  1. If tan(pi//4+ theta ) + tan(pi//4- theta )= k sec 2 theta , then th...

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  2. If Tan theta + Cot theta = 3 then Tan^(4)theta+Cot^(4)theta =

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  3. If tan""[(pi)/4 + theta ]+tan[(pi)/(4)- theta ]=a " then " tan^(3)[(pi...

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  4. cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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