Home
Class 10
MATHS
In a right triangle A B C right an...

In a right triangle `A B C` right angled at `B` , `/_A C B=theta` , `A B=2c m` and `B C=1\ c m` . Find the value of `sin^2theta+tan^2theta` .

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

a sin^(2)theta+b cos^(2)theta=c then tan^(2)theta

In a right triangle ABC, right-angled at B, if sin (A - C) = (1)/(2) find the measures of angles A and C

In a ABC, right angled at C and /_A=/_B is tan A=tan B?

If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

If a cos theta-b sin theta=c, then find the value of a sin theta+b cos theta

If a sin^(2)theta+b cos^(2)theta=c then tan^(2)theta=

In a triangle ABC, right angled at C, find the value of tan A + tan B in terms of the sides a,b,c.

If a cos theta + b sin theta = c, then what is the value of a sin theta - b cos theta ?

In right triangle A B C , right angle at C , M is the mid-point of the hypotenuse A Bdot C is jointed to M and produced to a point D such that D M=C Ddot Point D is joined to point Bdot Show that A M C~= B M D (ii) /_D B C=/_A C B D B C~= A C B (iii) C M=1/2A B

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. If secalpha=5/4 , verify that (tanalpha)/(1+tan^2alpha)=(sinalpha)/...

    Text Solution

    |

  2. If sintheta=4/5 , find the value of (4tantheta-5costheta)/(sectheta...

    Text Solution

    |

  3. In a right triangle A B C right angled at B , /A C B=theta , A B...

    Text Solution

    |

  4. From Fig. , write the values of: (i) sinA (ii) cotA

    Text Solution

    |

  5. From Fig., write the values of: (i) tanB (ii) sin^2B+cos^2B

    Text Solution

    |

  6. In /\O P Q right angled at P ,\ O P=7c m , O Q-P Q=1c m . Determine...

    Text Solution

    |

  7. In DeltaP Q R ,right angled at Q, P R+Q R=25cm and P Q=5c m. Determine...

    Text Solution

    |

  8. In a /\A B C , right angled at C and /A=/B , is cosA=cosB ?

    Text Solution

    |

  9. In a /\A B C , right angled at C and /A=/B , is tanA=tanB ?

    Text Solution

    |

  10. In /\A B C , right angled at B , if tanA=1/(sqrt(3)) , find the v...

    Text Solution

    |

  11. Given that 16cotA=12 ; find the value of (sinA+cosA)/(sinA-cosA) .

    Text Solution

    |

  12. If 5tanalpha=4 , show that (5sinalpha-3cosalpha)/(5sinalpha+2cosalp...

    Text Solution

    |

  13. If tantheta=(12)/(13) , evaluate (2sinthetacostheta)/(cos^2theta-sin^2...

    Text Solution

    |

  14. If /B and /Q are acute angles such that sinB=sinQ , then prove t...

    Text Solution

    |

  15. If sinA=2/3 , find other trigonometric ratios.

    Text Solution

    |

  16. If cosA=4/5 , find other trigonometric ratios.

    Text Solution

    |

  17. If tantheta=11 , find other trigonometric ratios

    Text Solution

    |

  18. If sintheta=(11)/(15) , find other trigonometric ratios

    Text Solution

    |

  19. Given tanalpha=5/(12)\ , find other trigonometric ratios

    Text Solution

    |

  20. sintheta=(sqrt(3))/2 , find other trigonometric ratios

    Text Solution

    |