Home
Class 11
MATHS
If sin A = 1/sqrt10 and sin B =1/sqrt5, ...

If `sin A = 1/sqrt10 and sin B =1/sqrt5`, where A and B are positive acute angles, then `A + B` is equal to

A

`pi`

B

`pi/2`

C

`pi/3`

D

`pi/4`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|101 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos
  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos
  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If sin A=(1)/(sqrt(10)) and sin B=(1)/(sqrt(5)), where A and B are positive acute angles,then A+B is equal to

If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)) , where A and B are positive acute angles, then A+B=?

If sin A=(2)/(sqrt(5)) and cos B=(1)/(sqrt(10)), where A and B are acute angles,then what is the value of A+B

If sin A = 1/ sqrt(5) , cos B = 3/ sqrt(10) , A, B being positive acute angles, then what is (A + B) equal to ?

If sin A= cos B , where A and B are acute angles, then A+B =__________

If sin (A - B) = 1/2 and cos (A + B) = 1/2 where A > B > 0 and A + B is an acute angle, then the value B is

If cos A =(5)/(13) , and sin B=(4)/(5) , find sin (A+B), where A,B,(A+B) are positive acute angles.

alpha=(1)/(sqrt(10))*sin beta=(1)/(sqrt(5)) (where alpha,beta and alpha+beta are positive acute angles) show that alpha+beta=(pi)/(4)

If sin A = 1/sqrt (3) and sin B = 1/sqrt (5) find the value of tan ( (A+B)/2).cot ( (A-B)/2)

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
  1. If cos (A+B) = alpha cos A cos B + beta sin A sin B, then (alpha, beta...

    Text Solution

    |

  2. If sin A= 4/5 and cos B =- 12/13, where A and B lie in first and thi...

    Text Solution

    |

  3. If sin A = 1/sqrt10 and sin B =1/sqrt5, where A and B are positive acu...

    Text Solution

    |

  4. If tantheta=1/2 and tanphi=1/3 , then tan (2theta + phi)

    Text Solution

    |

  5. If theta lies in the first quardrant and costheta=(8)/( 17 ), then fi...

    Text Solution

    |

  6. If A-B=pi//4 , then (1+t a n A)(1-t a n B) is equal to

    Text Solution

    |

  7. If A + B = 45^@, then (cot A-1) (cot B-1) is equal to

    Text Solution

    |

  8. If cos (theta -alpha) =a, sin (theta - beta) =b, then cos ^(2) (alpha...

    Text Solution

    |

  9. If x,y,z are any three real numbers, then tan (x-y) + tan (y-z) + tan...

    Text Solution

    |

  10. The value of tan 3A -tan 2A -tan A is equal to (A) tan 3A tan 2A tan A...

    Text Solution

    |

  11. tan 20^(@) + tan40^(@) + sqrt(3).tan 20^(@).tan 40^(@)=

    Text Solution

    |

  12. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equ...

    Text Solution

    |

  13. If tan A=2 tan B+cot B, then 2 tan (A-B) is equal to

    Text Solution

    |

  14. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

    Text Solution

    |

  15. (1)/(tan 3 A - tan A)- (1)/(cot 3 A - cot A)=

    Text Solution

    |

  16. Show that sin 150^(@) + cos 105^(@) =(1)/(sqrt(5))

    Text Solution

    |

  17. The vlaue of tan 81^(@) - tan 63^(@) - tan 27^(@)+ tan 9^(@) is equ...

    Text Solution

    |

  18. If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals 2(tanbet...

    Text Solution

    |

  19. tan ((pi)/(4)+theta) tan ((3pi)/( 4) + theta) is equal to

    Text Solution

    |

  20. tan(100^(@))+tan(125^(@))+tan(100^(@))tan(125^(@))=

    Text Solution

    |