Home
Class 12
MATHS
cos^(-1)""(3)/(5) +cos ^(-1) "" (12)/(13...

`cos^(-1)""(3)/(5) +cos ^(-1) "" (12)/(13) +cos ^(-1) "" (63)/(65)=(pi)/(2)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise Short answer type questions|45 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS OF ASSOCIATED ANGLES

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS - ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

cos^(-1) ""(15)/(17) + cos ^(-1)""(3)/(5)= cos ^(-1) ""(13)/(85)

cos ^(-1)"" (1)/(sqrt(5))+ cos ^(-1) ""(2)/(sqrt(5))=(pi)/(2)

Prove that cos^(-1).(4)/(5) + cos^(-1).(12)/(13) = cos^(-1).(33)/(65)

4 ( tan ^(-1) ""(1)/(3) + cos ^(-1)""(2)/(sqrt(5)))=pi

cos^(-1) ""(5)/(x)+cos^(-1) ""(12)/(x)=(pi)/(2)

Prove that cos^(-1)4/5 + cos^(-1)(12)/(13)=cos^(-1)(33)/(65)

The value of (cos ^(2) ""(pi)/(12)+ cos^(2) ""(pi)/(4)+ cos ^(2) ""(5pi)/(12)) is-

Prove that cot^(-1).(3)/(4) + sin^(-1).(5)/(13) = sin^(-1).(63)/(65)

prove that tan((pi)/(4)+(1)/(2) cos ^(-1)""(a) /(b) )+tan ((pi)/(4) -(1)/(2) cos ^(-1) ""(a)/(b))=(2b)/(a).

(1)/(2)cos ^(-1)""((5 cos x +3)/(5+3 cos x))= tan^(-1)""((1)/(2)tan ""(x)/(2))

CHHAYA PUBLICATION-TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS-Long answer type questions
  1. tan^(-1) 1+tan ^(-1) 2+tan ^(-1) 3 = pi =2 (tan ^(-1) ""(1)/(2)+tan...

    Text Solution

    |

  2. 3tan ^(-1) ""(1)/(2+sqrt(3))-tan ^(-1)""(1)/(2)=tan^(-1 )""(1)/(3)

    Text Solution

    |

  3. cos^(-1)""(3)/(5) +cos ^(-1) "" (12)/(13) +cos ^(-1) "" (63)/(65)=(pi)...

    Text Solution

    |

  4. tan^(-1) ""((1)/(2)tan 2A)+tan ^(-1)(cotA)+tan^(-1)(cot^(3)A) ={{:(0"...

    Text Solution

    |

  5. 2 tan ^(-1) (sqrt((a-b)/(a+b))tan""(x)/(2))=cos^(-1)""(acos x+b)/(a+b ...

    Text Solution

    |

  6. tan ( 2 tan ^(-1)sqrt((1+cos theta)/(1-cos theta)))+ tan theta =0

    Text Solution

    |

  7. tan ^(-1) ""{(sqrt(1+cos x)+sqrt(1-cos x)}/{sqrt(1+cosx)-sqrt(1-cos x)...

    Text Solution

    |

  8. cos ^(-1) ""((cos x + cos y)/(1+cos x cos y))= 2 tan ^(-1) (tan ...

    Text Solution

    |

  9. (1)/(2)cos ^(-1)""((5 cos x +3)/(5+3 cos x))= tan^(-1)""((1)/(2)tan "...

    Text Solution

    |

  10. tan ^(-1)""(1-x)/(1+x)- tan ^(-1 )""(1-y)/(1+y) = sin ^(-1) ""(y-x)/(...

    Text Solution

    |

  11. If cos ^(-1) x+ cos ^(-1) y= theta , show that x^(2)-2xycos thet...

    Text Solution

    |

  12. If sin ( pi cos theta ) = cos (pi sin theta ), , then sho...

    Text Solution

    |

  13. Prove that , a cos theta + b sin theta = sqrt(a^(2) +b^(2) ) cos ...

    Text Solution

    |

  14. IF 2 cos 4 theta + 9 cos 2 theta -7=0 , then show that , theta ...

    Text Solution

    |

  15. cot ^(-1)""x+cot^(-1)""2x=(3pi)/(4)

    Text Solution

    |

  16. cot ^(-1)x+cot^(-1)(a^(2)-x+1)=cot ^(-1)(a-1)

    Text Solution

    |

  17. tan ^(-1)""(1-x)/(1+x)""=(1)/(2) sin ^(-1)""(x)/(sqrt(1+x^(2)))

    Text Solution

    |

  18. sin ^(-1) x+sin ^(-1) (1-x) = cos ^(-1) x

    Text Solution

    |

  19. cos^(-1) ""(5)/(x)+cos^(-1) ""(12)/(x)=(pi)/(2)

    Text Solution

    |

  20. 3 cot ^(-1)""(1)/(2-sqrt(3))+cot ^(-1)""x=(pi)/(2)

    Text Solution

    |