Home
Class 11
MATHS
Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)...

Prove that `(4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot`

Text Solution

AI Generated Solution

To prove that \[ (4 \cos^2 9^\circ - 3)(4 \cos^2 27^\circ - 3) = \tan 9^\circ, \] we will start with the left-hand side (LHS) and manipulate it step by step. ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

Prove that (4 cos^(2)9^(@)-3)(4 cos ^(2)27^(@)-3)=tan 9^(@) .

If (4 cos^(2)9^(@)-3)(4 cos^(2)27^(@)-3) =tanK^(@) , then K is equal to

Prove that: cos^2 45^0-sin^2 15^0=(sqrt(3))/4

Prove that (2cos2A+1)/(2cos2A-1)=tan(60^0+A)tan(60^0-A)dot

Prove that (2cos2A+1)/(2cos2A-1)=tan(60^0+A)tan(60^0-A)dot

Prove that: 4"cos"12^0cos48^0cos72^0=cos36^0

Prove that: cos 10^0cos30^0cos 50^0cos 70^0=3/(16)

Prove that: cos 10^0cos30^0cos 50^0cos 70^0=3/(16)

Prove that : cos 9^0 + sin 9^0 = sqrt(2) sin 54^0

Prove that cos36^0cos72^0cos108^0cos144^0=1/(16)dot

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Let ABC be a triangle of area 24sq.units and PQR be the triangle forme...

    Text Solution

    |

  2. Find the number of pairs of integer (x , y) that satisfy the followin...

    Text Solution

    |

  3. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

    Text Solution

    |

  4. Let A D be a median of the A B Cdot If A Ea n dA F are medians of ...

    Text Solution

    |

  5. Find the value of cos12^0+cos84^0+cos156^0+cos132^0

    Text Solution

    |

  6. If no solution of 3siny+12sin^3x=a lies on the line y=3x , then a in ...

    Text Solution

    |

  7. If in a triangle P Q R ,sinP ,sinQ ,sinR a r e i n AdotPdot , then ...

    Text Solution

    |

  8. Find the angle theta whose cosine is equal to its tangent.

    Text Solution

    |

  9. If sin^2x-2sinx-1=0 has exactly four different solutions in x in [0,np...

    Text Solution

    |

  10. If in a triangle the angles are in the ratio as 1:2:3 , prove that the...

    Text Solution

    |

  11. A balloon is observed simultaneously from three points A, B and C on a...

    Text Solution

    |

  12. A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (...

    Text Solution

    |

  13. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  14. Prove that tan(pi/10) is a root of polynomial equation 5x^4-10 x^2+1=0...

    Text Solution

    |

  15. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then (a) x=pi/4 (b) y=0 (...

    Text Solution

    |

  16. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  17. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

    Text Solution

    |

  18. sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R , (a) hold...

    Text Solution

    |

  19. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  20. Find all the solution of 4cos^2xsinx-2sin^2x=3sinx

    Text Solution

    |