Home
Class 10
MATHS
If 3 sin theta+4 cos theta=5, then prove...

If `3 sin theta+4 cos theta=5`, then prove that ` sin theta=(3)/(5)`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos

  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

If sin2 theta = cos 3 theta then theta =

If 3 sin theta + 5 cos theta = 5 , then the value of 5 sin theta - 3 cos theta will be-

If 3 sin theta+4cos theta=5(0lt theta lt pi/2) , show that sin theta =3/5 .

If sin theta+ sin^(2)theta=1 , then prove that cos^(2) theta+cos^(4) theta=1.

If cos theta-sin theta=sqrt(2)cos theta , then prove that cos theta+sin theta=pm sqrt(2) sin theta .

If sin^2 theta+3cos theta=2 then cos^3 theta+sec^3 theta is

If sin theta = cos theta , what is sin theta - cos theta = ?

sin4theta cos 2theta = cos5theta sin theta

If 7sin ^2theta +3cos^2theta =4 , prove that, tan theta =pm1/sqrt(3) .

If sin theta+sin^2 theta=1 then prove that cos^12 theta +3 cos^10 theta+3cos^8 theta+cos^6 theta-1=0

CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES -EXERCISE
  1. Find the least value of (2 sin^(2)theta+3 cos^(2)theta).

    Text Solution

    |

  2. If cos theta+sectheta=sqrt(3), then prove that cos^(3)theta+sec^(3)the...

    Text Solution

    |

  3. If 3 sin theta+4 cos theta=5, then prove that sin theta=(3)/(5).

    Text Solution

    |

  4. If sin theta+"cosec"theta=2, then prove that sin^(7) theta+"cosec"^(7)...

    Text Solution

    |

  5. If cos theta-sin theta=sqrt(2)cos theta, then prove that cos theta+sin...

    Text Solution

    |

  6. If (a^(2)-b^(2))sin theta+2 ab cos theta-(a^(2)+b^(2))=0, then prove t...

    Text Solution

    |

  7. Prove that tan theta+sqrt((1-sintheta)/(1+sin theta))=sec theta.

    Text Solution

    |

  8. Prove that (tan theta+sec theta)^(2)=(1+sin theta)/(1-sin theta).

    Text Solution

    |

  9. Prove that (tan theta)/(sec theta-1)+(tan theta)/(sec theta+1)=2 "cose...

    Text Solution

    |

  10. Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-cos theta)/(1+cos ...

    Text Solution

    |

  11. Prove that (sin A+sinB)/(cosB-cosA)=(cos A+cosB)/(sinA-sinB).

    Text Solution

    |

  12. Prove that (sec theta-tan theta+1)/(sec theta+tan theta+1)=(1-sin the...

    Text Solution

    |

  13. Prove that (1)/("cosec"alpha-cot alpha)-(1)/(sin alpha)=(1)/(sin alpha...

    Text Solution

    |

  14. If "cosec" theta- sin theta=m^(3) and sec theta-cos theta=n^(3), then ...

    Text Solution

    |

  15. eliminate theta : a(1) sec theta + b(1)tan theta+c(1)=0 , a(2)sec thet...

    Text Solution

    |

  16. If tan theta=(a)/(b) , then find the value of (sin theta)/(cos^(8)thet...

    Text Solution

    |

  17. If a^(2)sec^(2)alpha-b^(2)tan^(2)alpha=c^(2), then prove that sinalpha...

    Text Solution

    |

  18. If tan theta=k, then show that sec theta+tan^(3)theta "cosec"theta=(1...

    Text Solution

    |

  19. If tan^(2)theta=1-e^(2), then prove that sectheta+tan^(3)theta"cosec...

    Text Solution

    |

  20. If " cosec"theta-sin theta=m and sec theta-cos theta=n, then prove tha...

    Text Solution

    |