Home
Class 10
MATHS
If secA=5/4 , verify that (3sinA-4sin...

If `secA=5/4` , verify that `(3sinA-4sin^3A)/(4cos^3A-3cosA)=(3tanA-tan^3A)/(1-3tan^2A)`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

If secA=(17)/8 , verify that (3-4sin^2A)/(4cos^2A-3)=(3-tan^2A)/(1-3tan^2A)

Prove that : (sinA+sin3A)/(cosA+cos3A)=tan2A

Prove that: (sin5A-sin3A)/(cos5A+cos3A)=tanA (sinA-sin3A)/(cosA+cos3A)=tanA

Prove that: (sin7A-2sin4A+sinA)/(cos7A-2cos4A+cosA)=tan4A

Prove that: (sin5A-sin3A)/(cos5A+cos3A)=tanA (2) (sinA+sin3A)/(cosA+cos3A)=tan2A

Prove that: (sinA+sin3A+sin5A)/(cos A+cos3A+cos5A)=tan3A

Prove that: (sin5x+sin3x)/(cos5x+cos3x)=tan4x

If costheta=(8)/(17) ,verify that (3-4sin^(2)theta)/(4cos^(2)theta-3)=(3-tan^(2)theta)/(1-3tan^(2)theta) .

If A=30, then show that sin3A=3sinA-4sin^(3)A

If A=30^@ verify that cos3A=4cos^3A-3cosA

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. If costheta=3/5, find the value of (sintheta-1/tantheta)/(2tantheta)

    Text Solution

    |

  2. If sintheta=3/5 , evaluate (costheta-1/(tantheta))/(2cottheta)

    Text Solution

    |

  3. If secA=5/4 , verify that (3sinA-4sin^3A)/(4cos^3A-3cosA)=(3tanA-ta...

    Text Solution

    |

  4. If sintheta=3/4 , prove that sqrt((cos e c^2theta-cot^2theta)/(sec^...

    Text Solution

    |

  5. If secA=(17)/8 , verify that (3-4sin^2A)/(4cos^2A-3)=(3-tan^2A)/(1-...

    Text Solution

    |

  6. If cottheta=3/4 , prove that sqrt((sectheta-cos e c\ theta)/(secthe...

    Text Solution

    |

  7. If tantheta=(24)/7 , find sintheta+costheta.

    Text Solution

    |

  8. If sintheta=a/b , find sectheta+tantheta in terms of a and b .

    Text Solution

    |

  9. If 8tanA=15 , find sinA-cosA

    Text Solution

    |

  10. If 3costheta-4sintheta=2costheta+sintheta , find tantheta .

    Text Solution

    |

  11. If tantheta=(20)/(21) , show that (1-sintheta+costheta)/(1+sintheta...

    Text Solution

    |

  12. If cos e c\ A=2 , find the value of 1/(tanA)+(sinA)/(1+cosA)

    Text Solution

    |

  13. If /A and /B are acute angles such that cos A=cos B . then show tha...

    Text Solution

    |

  14. If angleA and angleP are acute angle such that tanA=tanP, then show th...

    Text Solution

    |

  15. In a /\A B C , right angled at A , if tanC=sqrt(3) , find the valu...

    Text Solution

    |

  16. State whether the following are true or false. Justify your answer. ...

    Text Solution

    |

  17. State whether the following are true or false. Justify your answer. ...

    Text Solution

    |

  18. Evaluate each of the following in the simplest form: sin60ocos30o+co...

    Text Solution

    |

  19. Evaluate the following expressions: (i) 2sin^2 30^otan60^o-3cos^2 60...

    Text Solution

    |

  20. Evaluate the following expressions: (i) 4cot^2 45o-sec^2 60^o + sin^...

    Text Solution

    |