Home
Class 12
MATHS
Prove that: sin^(-1)(12)/(13)+cos^(-1)4/...

Prove that: `sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi`

A

`(3pi)/(4)`

B

`pi/2`

C

`pi`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-2 CONCEPT APPLICATOR|31 Videos

  • JEE MAIN - 2019 (HELD ON: 9TH APRIL 2019(MORNING SHIFT))

    DISHA PUBLICATION|Exercise MCQs|30 Videos

Similar Questions

Explore conceptually related problems

Show that (sin^(-1)(12))/(13)+(cos^(-1)4)/(5)+(tan^(-1)(63))/(16)=pi

Show that sin^(-1)'5/13+cos^(-1)'3/5=tan^(-1)'63/16 .

Prove that: sin^(-1)((5)/(13))+cos^(-1)((4)/(5))=(1)/(2)sin^(-1)((3696)/(4225))

Prove that sin^(-1)(5/13)+sin^(-1)(16/65)=cos^(-1)(4/5)

Prove that cos^(-1) ((5)/(13))+cos^(-1) (-7/25)+sin^(-1) (36)/(325)=pi

Prove that: cos^(-1)((12)/(13))+sin^(-1)((3)/(5))=sin^(-1)((56)/(65))

Let alpha=2tan^(-1)((1)/(2))+(sin^(-1)3)/(5) and beta=sin^(-1)((12)/(13))+cos^(-1)((4)/(5))+cos^(-1)((16)/(63)) be such that2sin alpha and cos beta are roots of the equation x^(2)-px+q=0, then (p-q) is

Prove that: sin^(-1)((3)/(5))+cos^(-1)((12)/(13))=sin^(-1)((56)/(65))

sin^(-1)(5/13)+tan^(-1)(12/5)=

Prove that :tan^(-1)(63)/(16)=sin^(-1)(5)/(13)+cos^(-1)(3)/(5)

DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
  1. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

    Text Solution

    |

  2. If cosec^(-1)x=2cot^(-1)7+cos^(-1)((3)/(5)), then x=

    Text Solution

    |

  3. sin(2sin^(-1) 0.8)=

    Text Solution

    |

  4. The value of cos[2 tan^(-1)(-7)] is

    Text Solution

    |

  5. If 2 sin^(-1)x - cos^(-1)x = pi/2, then x is equal to

    Text Solution

    |

  6. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

    Text Solution

    |

  7. If (tan^(-1) x)^2 + (cot^(-1) x)^2 = (5pi^2)/8 then x equals

    Text Solution

    |

  8. Prove that tan^(-1)(3a^(2)x-x^(3))/(a^(3)-3ax^(2))=3tan^(-1)x/a.

    Text Solution

    |

  9. If 4 "sin"^(-1)x+"cos"^(-1)x=pi, then x is equal to

    Text Solution

    |

  10. If "sin"^(-1)((6x)/(1+9x^2))=2 "tan"^(-1)(ax), then a=

    Text Solution

    |

  11. tan(tan^-1x+tan^-1y+tan^-1z)-cot(cot^-1x+cot^-1y+cot^-1z) is equal to

    Text Solution

    |

  12. The value of tan^(-1)1/3+tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8 is ……..

    Text Solution

    |

  13. The solution of sin^(-1)x-sin^(-1)2x=pm(pi)/(3) is

    Text Solution

    |

  14. Prove that: sin^(-1)(12)/(13)+cos^(-1)4/5+tan^(-1)(63)/(16)=pi

    Text Solution

    |

  15. The number of solution of the equation tan^(-1) (1 + x) + tan^(-1) (1 ...

    Text Solution

    |

  16. If a le sin^(-1)x +cos^(-1)x+tan^(-1)x le b, then:

    Text Solution

    |

  17. If a(1),a(2),a(3),….a(n) is a.p with common difference d then tan{ta...

    Text Solution

    |

  18. underset(r=1)overset(infty)sum"tan"^(-1)((1)/(1+r+r^2))=….......

    Text Solution

    |

  19. Prove that 2tan^(-1)(sqrt((a-b)/(a+b))tantheta/2)=cos^(-1)((acostheta+...

    Text Solution

    |

  20. If "tan"^(-1)x+"tan"^(-1)"1"/x={(pi//k,if", "xge0),(-pi//k,if", "xlt0)...

    Text Solution

    |