Home
Class 10
MATHS
Choose the correct answer in each of the...

Choose the correct answer in each of the following questions:
If A and B are acute angles such that `sinA = cos B " then " (A+B)=?`

A

`45^(@)`

B

`60^(@)`

C

`90^(@)`

D

`180^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C

`sinA=cosBrArr cos(90^(@)-A)=cosBrArr90^(@)-A=BrArr A+B=90^(@).`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Test Yourself|20 Videos
  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Exercise 13C|40 Videos
  • TRIANGLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos
  • TRIGONOMETRIC RATIOS

    RS AGGARWAL|Exercise Exercise 10|35 Videos

Similar Questions

Explore conceptually related problems

If A and B are acute angles such that sin A =cos B , prove that (A+B)=90^@ .

Choose the correct answer in each of the following questions: sec^(2)60^(@)-1=?

If A and B are acute angles and sinA=cosB then A+B=

Choose the correct answer in each of the following questions: If 2cos 3 theta=1 " then " theta=?

Choose the correct answer in each of the following questions: If sin theta=(a)/(b) " then " cos theta=?

If A and B are acute angles such that cot(A+B)=1 and cosec(A-B) =2,"then" : (A,B)-=

Choose the correct answer in each of the following questions: If cos theta =(4)/(5) " then " tan theta=?

If A and B are acute angles such that tanA=cotB , then show that A+B =90^(@) .

Choose the correct answer in each of the following questions: sqrt((1-sinA)/(1+sinA))=?

Choose the correct answer in each of the following questions: If tan theta=(4)/(3) " then " (sin theta+cos theta)=?

RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Multiple Choice Questions (Mcq)
  1. If sin 3A =cos(A-10^(@)) where 3A is an acute angle , then find the va...

    Text Solution

    |

  2. If sec 4A="cosec"(A-10^(@))and 4A" is acute then " angle A=?

    Text Solution

    |

  3. Choose the correct answer in each of the following questions: If A a...

    Text Solution

    |

  4. Choose the correct answer in each of the following questions: If c...

    Text Solution

    |

  5. Choose the correct answer in each of the following questions: sin(45...

    Text Solution

    |

  6. Choose the correct answer in each of the following questions: sec^(2...

    Text Solution

    |

  7. Choose the correct answer in each of the following questions: "cosec...

    Text Solution

    |

  8. Choose the correct answer in each of the following questions: (2tan^...

    Text Solution

    |

  9. Find the value of [(sin^2 2 2^(@)+sin^2 6 8^(@))/(cos^2 2 2^(@)+cos^2 ...

    Text Solution

    |

  10. Without using trigonometric tables , evaluate the following : (co...

    Text Solution

    |

  11. Choose the correct answer in each of the following questions: (cos38...

    Text Solution

    |

  12. If 2sin 2 theta =sqrt(3) " then " theta=?

    Text Solution

    |

  13. Choose the correct answer in each of the following questions: If 2co...

    Text Solution

    |

  14. Choose the correct answer in each of the following questions: If sqr...

    Text Solution

    |

  15. If tanx= 3cotx " then " x=?

    Text Solution

    |

  16. Choose the correct answer in each of the following questions: If x t...

    Text Solution

    |

  17. Choose the correct answer in each of the following questions: If tan^...

    Text Solution

    |

  18. Choose the correct answer in each of the following questions: sec^(2...

    Text Solution

    |

  19. Choose the correct answer in each of the following questions: (cos0^...

    Text Solution

    |

  20. Choose the correct answer in each of the following questions: sin^(2...

    Text Solution

    |