Home
Class 10
MATHS
In a /\A B C right angled at B , /A=/C...

In a `/_\A B C` right angled at `B` , `/_A=/_C` . Find the values of (i) `sinAcosC+cosAsinC` (ii) `sinAsinB+cosAcosB`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

In /_\A B C , right angled at B , if tanA=1/(sqrt(3)) , find the value of (i) sinAcosC+cosAsinC (ii) cosAcosC-sinAsinC

In a /_\A B C , right angled at C and /_A=/_B , is tanA=tanB ?

In a DeltaA B C right angled at C , if tanA=1/(sqrt(3)) , find the value of sinAcosB+cosAsinBdot

In a /_\A B C , right angled at C and /_A=/_B , is cosA=cosB ?

In triangle ABC, right-angled at B. if tanA=1/(sqrt(3)) find the value of: (i) sin A cos C+cos A sin C (ii) cos A cos C sin A sin C

In Figure, A B C is right angled at B ,B C=7c m and A C-A B=1c m . Find the value of cosA-sinAdot

In a /_\A B C , right angled at B , if A B=12 and B C=5 , find: (i) sinA and tanA (ii) cosC and cotC

In a /_\A B C , right angled at B , A B=24 c m , B C=7c m . Determine (i) sinA ,cosA (ii) sinC ,cosC

A triangle ABC is right angled at B, find the value of (sec A . cosec C - tan A . cot C)/(sin B)

If DeltaABC is right angled at C , then the value of cos(A+B) is

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. If tan(A-B)=1/(sqrt(3)) and tan(A+B)=sqrt(3) , 0^@ < A+B lt= 90^@, A >...

    Text Solution

    |

  2. If sin(A-B) = 1/2 and cos(A+B) = 1/2, 0^o < A+B <90^o and A>B, then f...

    Text Solution

    |

  3. In a /\A B C right angled at B , /A=/C . Find the values of (i) si...

    Text Solution

    |

  4. If A and B are acute angles such that tanA=1/2 , tanB=1/3 and tan(A...

    Text Solution

    |

  5. In /\P Q R , right-angled at Q ,\ P Q=3c m and P R=6c m . Determine ...

    Text Solution

    |

  6. Evaluate the following: (i) (cos80^o)/(sin10^o)+cos59^o\ cos e c\ 31...

    Text Solution

    |

  7. Evaluate the following: (i) sec50^osin40^o + cos40^o\ cos e c\ 50^o ...

    Text Solution

    |

  8. Prove that: (i) sin35 sin55-cos35 cos55=0 (ii) (cos70)/(sin20)+(co...

    Text Solution

    |

  9. Express each of the following in terms of trigonometric ratios of an...

    Text Solution

    |

  10. Express each of the following in terms of trigonometric ratios of an...

    Text Solution

    |

  11. Evaluate the following: (i) ((sin35)/(cos55))^2+((cos55)/(sin35))^2-...

    Text Solution

    |

  12. Evaluate: ((sin47^@)/(cos43^@))^2+((cos43^@)/(sin47^@))^2-4cos^2 45^@

    Text Solution

    |

  13. If A ,\ B ,\ C are the interior angles of a triangle A B C , prove ...

    Text Solution

    |

  14. Find theta; if sin(theta + 36^@) = cos theta; where theta + 36^@ is a...

    Text Solution

    |

  15. If tan2theta=cot(theta+6^@) , where 2theta and theta+6^@ are acute a...

    Text Solution

    |

  16. If t a n A=cot B , prove that A+B=90^@

    Text Solution

    |

  17. If sec5A=cos e c\ (A+36^@) , where 5A is an acute angle, find the va...

    Text Solution

    |

  18. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

    Text Solution

    |

  19. Evaluate the following: (i) (sin20^@)/(cos70^@) (ii) (cos19^@)/(sin71^...

    Text Solution

    |

  20. Evaluate the following: (i) (sin21o)/(cos69o) (ii) (tan10o)/(cot80o...

    Text Solution

    |