Home
Class 11
MATHS
If sin 5theta = cos 4theta where 5theta ...

If sin 5`theta` = cos 4`theta` where 5`theta` and 4`theta` are acute angles, find the value of `theta`.

A

`12^@`

B

`15^@`

C

`18^@`

D

`21^@`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If sin 3 theta = cos (theta-6^@) where 3 theta and theta-6^@ are acute angles, find the value of theta .

If tan 2 theta = cot 4 theta where 2 theta and 4 theta are acute angles. Find theta

If cos 3 theta = sin ( theta - 6^@ ) where 3 theta and theta - 6^@ are acute angles, find the value of theta .

If cos 5 theta = a cos^(5)theta + b cos^(3)theta+c cos theta . Then, find the value of c.

Let f(theta)= sin theta - cos^(2) theta-1 , where theta in R and m le f(theta) le M . The value of (4m+13) is equal to

Prove the following : cos 7 theta + cos 5 theta + cos 3 theta +cos theta =4 cos theta cos2 theta cos4 theta for all value of theta .

If x = a(cos 2theta + 2theta sin 2theta) and y = a(sin 2theta - 2theta cos 2theta),then find the value of (d^2x)/(d^2y) at theta = π/4

If A = [(cos theta, sin theta),(-sin theta, cos theta)] and B = [(sin theta, - cos theta), (cos theta, sin theta)] , evaluate A cos theta + B sin theta .

If 5 sin theta = 3 , find the value of (sec theta -tan theta)/ (sec theta +tan theta) .

If the coordinates of a variable point be (cos theta + sin theta, sin theta - cos theta) , where theta is the parameter, then the locus of P is

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. The expression (cos 2b-cos 2a)/(sin 2b-sin2a) is equal to:

    Text Solution

    |

  2. If tan x=b/a, then the value of a cos 2x+b sin 2x is :

    Text Solution

    |

  3. If sin 5theta = cos 4theta where 5theta and 4theta are acute angles, f...

    Text Solution

    |

  4. If 2 sin theta=a+1/a, a is real, then the solution set for a is :

    Text Solution

    |

  5. The maximum value of a cos x + b sin x is :

    Text Solution

    |

  6. If in a DeltaABC, sin A =sin^(2) B and 2 cos ^(2)A=3 B, then the Delta...

    Text Solution

    |

  7. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  8. If in a triangle, a/(cosA)= b/(cos B) =c/(cos C), then the triangle is...

    Text Solution

    |

  9. Let the angles A, B, C of triangle ABC be in A.P. and let b:c= sqrt3:s...

    Text Solution

    |

  10. The period of sin 2 theta is :

    Text Solution

    |

  11. If y = sec^2 theta+ cos^2 theta, theta ne 0, then :

    Text Solution

    |

  12. The sides BC, CA and AB of a triangle ABC are of lengths a, b and c re...

    Text Solution

    |

  13. The angle of elevation of the top of a hill from a point is alpha. Aft...

    Text Solution

    |

  14. If tan(x/2)=cosec x-sin x, then find the value of tan^(2) (x/2).

    Text Solution

    |

  15. Consider the system of equations in x, y, z as x sin 3 theta-y + z=0, ...

    Text Solution

    |

  16. Prove that cos^(4) .(pi)/(8) + cos^(4).(3pi)/(8)+cos^(4).(5pi)/(8)+c...

    Text Solution

    |

  17. Prove that : "tan"(pi/(4)+1/(2)"cos"^(-1)a/(b))+"tan"(pi/(4)-1/(2)"cos...

    Text Solution

    |

  18. The equation sqrt3 sinx+cos x=4 has:

    Text Solution

    |

  19. The value of cos 15^@ cos 7 1^@/2 sin 7 1^@/2 is:

    Text Solution

    |

  20. The most general values of 'x' for which sin x + cos x =underset( a i...

    Text Solution

    |