Home
Class 12
MATHS
Prove that: sin^(-1)4/5+sin^(-1)5/(13)+s...

Prove that: `sin^(-1)4/5+sin^(-1)5/(13)+sin^(-1)(16)/(65)=pi/2`

A

`(3pi)/2`

B

`pi/2`

C

`pi-sin^(-1).(3713)/4225`

D

`pi-tan^(-1).(3713)/2016`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - C)(OBJECTIVE TYPE QUESTIONS (MORE THAN ONE OPTIONS ARE CORRECT))|13 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - D)(LINKED COMPREHENSION TYPE QUESTIONS)|9 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))|45 Videos
  • INTEGRALS

    AAKASH INSTITUTE ENGLISH|Exercise Try yourself|50 Videos
  • LIMITS AND DERIVATIVES

    AAKASH INSTITUTE ENGLISH|Exercise Section - j|3 Videos

Similar Questions

Explore conceptually related problems

Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

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

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

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that sin^(- 1)(8/17)+sin^(- 1)(3/5)=sin^(- 1)(77/85)

Prove that: sin^-1(3/5)-cos^-1(12/13)=sin^-1(16/65)

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

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

AAKASH INSTITUTE ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - B)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
  1. The value of tan^(-1)1+tan^(-1)2+tan^(-1)3 is :

    Text Solution

    |

  2. If a,b,c are real positive numbers and theta =tan^(-1)[(a(a+b+c))/(bc)...

    Text Solution

    |

  3. Prove that: sin^(-1)4/5+sin^(-1)5/(13)+sin^(-1)(16)/(65)=pi/2

    Text Solution

    |

  4. If alpha=tan^(-1)((sqrt(3)x)/(2y-x)) , beta=tan^(-1)((2x-y)/(sqrt(3)y)...

    Text Solution

    |

  5. Evaluate: {(2tan^(-1)1)/5-pi/4} (ii) tan{1/2cos^(-1)(sqrt(5))/3}

    Text Solution

    |

  6. If -1 le x le -1/2, then sin^(-1)(3x-4x^3) equals

    Text Solution

    |

  7. The value of cos (2Cos^-1 0.8) is

    Text Solution

    |

  8. Find the value of 4 tan^-1 (1/5) - tan^-1 (1/239)

    Text Solution

    |

  9. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

    Text Solution

    |

  10. If |cos^(-1) ((1 -x^(2))/(1 + x^(2)))| lt (pi)/(3), then

    Text Solution

    |

  11. The set of values of x satisfying |sin^(- 1)x|lt|cos^(- 1)x|,is

    Text Solution

    |

  12. Let f(x)=sec^-1(x-10)+cos^-1(10-x). Then range of f(x) is

    Text Solution

    |

  13. Let f(x) = cosec^-1[1 + sin^2x], where [*] denotes the greatest intege...

    Text Solution

    |

  14. The sum sum (n=1)^ootan^(-1)(1/(2^n+2^(1-n))) equals

    Text Solution

    |

  15. tan ((pi)/(4) + (1)/(2) cos^(-1) x) + tan ((pi)/(4) - (1)/(2) cos^(-1)...

    Text Solution

    |

  16. The sum sum(k=1)^oocot^(-1)(2k^2) equals

    Text Solution

    |

  17. The sum tan^(-1).(1)/(1+x+x^2)+tan^(-1).(1/(3+3x+x^2))+tan^(-1).(1/(7+...

    Text Solution

    |

  18. Find the sum of infinite series s = sin^(-1) ( 1/sqrt2) + sin ^(-1) ...

    Text Solution

    |

  19. If cot ^(-1) ((n^(2) - 10n + 21*6)/pi) gt pi/6 , n in N , then find t...

    Text Solution

    |

  20. Find the set of values of k for which x^(2) - kx + sin^(-1) ( sin 4) ...

    Text Solution

    |