Home
Class 11
MATHS
Assertion (A) : If Tan((pi)/(4)+ theta)+...

Assertion (A) : If `Tan((pi)/(4)+ theta)+Tan ((pi)/(4)- theta)=k` then `Tan^(3)((pi)/(4)+ theta)+Tan^(3) ((pi)/(4)- theta)=k^(3)-3k`
Reason (R) : If `A+B=(pi)/(2)` then `Tan A tan B=1`

A

A is true, r is true and R is correct explanation for A

B

A is true, R is true and R is not correct explanation for A

C

A is true, R is false

D

A is false, R is true

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise COMPOUND ANGLES|12 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise MULTIPLE & SUB MULTIPLE ANGLES|20 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

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

Tan ((pi)/(4)+theta).Tan((3pi)/(4)+theta)=

If tan(pi//4 + theta ) + tan (pi//4 - theta ) =3 , " then " tan^(2)(pi//4 + theta ) + tan^(2)(pi//4 - theta ) =

If tan (pi//4 + theta) + tan (pi//4 - theta) = 4 , then theta =

If tan((pi)/(2) sin theta)=cot((pi)/(2)cos theta) then sin(theta +(pi)/(4))=

Find the values of the following : Tan((pi)/(4)+theta).Tan((pi)/(4)-theta)

If (sin (theta+ alpha))/(cos (theta- alpha))=(1-M)/(1+M) then Tan ((pi)/(4)- theta). Tan ((pi)/(4)- alpha)=

If sin[(pi)/(4)cot theta]=cos[(pi)/(4)tan theta] then theta =

Simplify tan ((pi)/(4) +A) tan ((pi)/(4)-A)

AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
  1. Assertion (A) : If Tan((pi)/(4)+ theta)+Tan ((pi)/(4)- theta)=k then T...

    Text Solution

    |

  2. In a triangle ABC, if A,B, C are in A.P and b:c =sqrt3:sqrt2, then

    Text Solution

    |

  3. In Delta ABC, if B=60^@,C=45^@ and D divides BC internally in the rati...

    Text Solution

    |

  4. If a=4,b=5,c=6 then

    Text Solution

    |

  5. In DeltaABC, if a= 2, b= sqrt(6) and c= sqrt(3)+1 then A=

    Text Solution

    |

  6. In DeltaABC, if the sides a,b,c are the roots of x^(3)-11x^(2)+38x-40=...

    Text Solution

    |

  7. In triangle ABC, triangle A^(1)B^(1)C^(1) are such that B=B^(1),A+A^(1...

    Text Solution

    |

  8. In triangle ABC, right angle at B if s-a=3, s-c=2 then a,c are

    Text Solution

    |

  9. The distance of the orthocentre from the vertices A,B,C are in the rat...

    Text Solution

    |

  10. If H is the orthocentre of DeltaABC and AH=x, BH=y, CH=z then (abc)/(x...

    Text Solution

    |

  11. If the angles A,B,C of a triangle are in A.P and sides a,b,c are in G....

    Text Solution

    |

  12. In triangle ABC, range of (a^(2)+b^(2)+c^(2))/(ab+bc+ca) is (a,b,c are...

    Text Solution

    |

  13. In DeltaABC, if AD is the altitude and O is the orthocentre of DeltaAB...

    Text Solution

    |

  14. If R is the circumradius of equilateral traingle DeltaABC then circumr...

    Text Solution

    |

  15. If alpha, beta, gamma are lenghts of internal bisectors of angles A,B,...

    Text Solution

    |

  16. In DeltaABC, a=2b,|A-B|=(pi)/(3) then angle C=

    Text Solution

    |

  17. In Delta ABC , if x=tan((B-C)/(2))tan.(A)/(2),y=tan((C-A)/(2))tan.(B)/...

    Text Solution

    |

  18. In a triangle ABC, D and E are the mid-points of BC, CA respectively. ...

    Text Solution

    |

  19. The alternate vertices of a regular hexagon are joined to form another...

    Text Solution

    |

  20. In DeltaABC if r(1)=2r(1)=3r(3) and D is the mid point of BC then cos ...

    Text Solution

    |

  21. If (sin 3B)/(sinB)=((a^(2)-c^(2))/(2ac)) then a^(2),b^(2),c^(2) are in

    Text Solution

    |