Home
Class 10
MATHS
If 5theta and 4theta are acute angles ...

If `5theta` and `4theta` are acute angles satisfying `sin5theta=cos4theta` , then `2sin3theta-sqrt(3)tan3theta` is equal to

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

If theta and phi are acute angles satisfying sin theta=1/2, cos phi=1/3 then theta+phi=

cos theta+sqrt(3)sin theta=2

4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta) is equal to

Find values of theta satisfying sintheta+sin5theta=sin3theta such that 0<=theta<=pi

If sin theta =3/5, then tan theta is

Prove that : sin theta cos^3 theta - cos theta sin^3 theta = 1/4 sin4theta .

(sin5theta+sin2theta-sin theta)/(cos5theta+2cos3theta+2cos^(2)theta+costheta) is equal to

sin^(3)theta + sin theta - sin theta cos^(2)theta =

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

If sin5theta=cos4theta, whre 5thetaa n d4theta are acute angles, find the value of theta .

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. The value of (cos^3 20^@-cos^3 70^@)/(sin^3 70^@-sin^3 20^@) is (a) 1/...

    Text Solution

    |

  2. If A and B are complementary angles, then (a) sinA=cosB (b) cosA=s...

    Text Solution

    |

  3. If xsin(90^@-theta)cot(90^@-theta)=cos(90^@-theta) , then x=

    Text Solution

    |

  4. If xtan45^@cos60^@=sin60^@cot60^@ , then x is equal to

    Text Solution

    |

  5. If angles A ,\ B ,\ C of a /\A B C form an increasing A P , then sinB=...

    Text Solution

    |

  6. If theta is an acute angle such that sec^2theta=3 , then the value...

    Text Solution

    |

  7. The value of tan1otan2otan3oddottan89o is (a) 1 (b) -1 (c) 0 (d) No...

    Text Solution

    |

  8. The value of cos1^@cos2^@cos3^@ .......................................

    Text Solution

    |

  9. The value of tan10otan15otan75otan80o is -1 (b) 0 (c) 1 (d) None of...

    Text Solution

    |

  10. If theta and 2theta-45^@ are acute angles such that sintheta=cos(2thet...

    Text Solution

    |

  11. If 5theta and 4theta are acute angles satisfying sin5theta=cos4theta...

    Text Solution

    |

  12. (2tan3 0^(@))/(1-tan^2 3 0^(@))is equal to (a)sin60^(@) (b) cos60^(@) ...

    Text Solution

    |

  13. (1-tan^2 45^@)/(1+tan^2 45^@) is equal to

    Text Solution

    |

  14. sin2A=2sinA is true when A= (a) 0^@ (b) 30^@ (c) 45^@ (d) 60^@

    Text Solution

    |

  15. (2tan30^@)/(1-tan^2 30^@) is equal to (a) cos60^@ (b) sin60^@ (c) tan6...

    Text Solution

    |

  16. If A, B and C are interior angles of a triangle ABC, then show that "s...

    Text Solution

    |

  17. If costheta=2/3 , then 2sec^2theta+2tan^2theta-7 is equal to (a) 1 (b)...

    Text Solution

    |

  18. tan5oxxtan30oxx4tan85o is equal to 4/(sqrt(3)) (b) 4sqrt(3) (c) 1 (d) ...

    Text Solution

    |

  19. In Fig. 5.47, the value of cosvarphi is (FIGURE) 5/4 (b) 5/3 (c) 3/...

    Text Solution

    |

  20. In Figure, A D=4c m , B D=3c m and C B=12 c m , find cottheta . (a) (1...

    Text Solution

    |