Home
Class 10
MATHS
If sin5theta=cos4theta, whre 5thetaa n d...

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

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

If cos2theta=sin4theta , where 2theta and 4theta are acute angles, find the value of theta .

If tan2theta=cot(theta+6^@) , where 2theta and theta+6^@ are acute angles, find the value of theta .

If sintheta=cos(theta-45^@) , where theta and theta-45^@ are acute angles, find the degree measure of theta .

If sin(theta+24^(@))=costhetaandtheta+24^(@) is an acute angle , then find the value of theta .

If costheta=4/5a n d\ theta is acute, find the t a n2theta

Find theta , " if " sin 5 theta = cos 4 theta : where 5 theta and 4 theta are acute angles.

Given : 4 sintheta = 3 cos theta , find the value of: sin theta

If sin7theta=cos5 theta , then general value of theta is:

If the expression (sin theta sin2theta+sin3theta sin60theta+sin4theta sin13theta)/(sin theta cos 2theta+sin3theta cos 6theta+sin4theta cos13theta)=tan k theta , where k in N . Find the value of k.

If S_n=cos^n theta+sin^n theta then find the value of 3S_4-2S_6

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Prove that: tan10^0tan15^0tan75^0tan80^0=1 tan1^0tan2^0tan3^0.....tan...

    Text Solution

    |

  2. If A+B=90^0, prove that sqrt((tanAtanB+tanAcotB)/(sinAsecB)-(sin^2B)/(...

    Text Solution

    |

  3. If sin5theta=cos4theta, whre 5thetaa n d4theta are acute angles, find ...

    Text Solution

    |

  4. If tantheta+1/(tantheta)=2 , find the value of tan^2theta+1/(tan^2thet...

    Text Solution

    |

  5. Evaluate each of the following in the simplest form: 1).cosec30^0+cot...

    Text Solution

    |

  6. In a right triangle ABC , right angled at B , the ratio of A BtoA C is...

    Text Solution

    |

  7. In Figure, A D=D B \ and \ /B is a right angle. Determine. (a)\ sin th...

    Text Solution

    |

  8. Find the value of x in each of the following: (i)tan3x=sin45^0cos45^...

    Text Solution

    |

  9. If theta is an acute angle and tantheta+cottheta=2, find the value o...

    Text Solution

    |

  10. Prove that: (cos30^0+sin60^0)/(1+cos60^0+sin30^0)=(sqrt(3))/2

    Text Solution

    |

  11. Find the value of theta in each of the following: (i)2sin2theta=sqrt...

    Text Solution

    |

  12. An equilateral triangle is inscribed in a circle of radius 6cm. Find ...

    Text Solution

    |

  13. If tanA=1 and tanB=sqrt(3),e v a l u a t ecosAcosB-sinAsinBdot

    Text Solution

    |

  14. Evaluate each of the following: cos(40^0-theta)-sin(50^0+theta)+(cos^2...

    Text Solution

    |

  15. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

    Text Solution

    |

  16. Evaluate each of the following: (a) cos(40^0-theta)-sin(50^0+theta)...

    Text Solution

    |

  17. Evaluate : 4(sin^4 30^0+cos^4 60^0)-2/3(sin^2 60^0-cos^2 45^0)+1/2tan...

    Text Solution

    |

  18. Evaluate : (sin50^0)/(cos40^0)+(cos e c40^0)/(sec50^0)-4cos50^0cos e ...

    Text Solution

    |

  19. Evaluate : tan35^0tan40^0tan45^0tan50^0tan55^0

    Text Solution

    |

  20. Evaluate : cos e c(65^0+theta)-sec(25^0-theta)-tan(55^0-theta)+cot(...

    Text Solution

    |