Home
Class 11
MATHS
Prove that: cos^2 45^0-sin^2 15^0=(sqrt(...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

Prove that: cos^2 48^0-sin^2 12^0=(sqrt(5)+1)/8

Prove that: sin^2 24^0-sin^2 6^0=(sqrt(5)-1)/8

Prove that: sin^2 24^0-sin^2 6^0=(sqrt(5)-1)/8

Prove that: sin^2 24^0-sin^2 6^0=(sqrt(5)-1)/8

Prove that: sin^2 42^0-cos^2 78^0=(sqrt(5)+1)/8

Prove that: sin20^0sin40^0sin80^0=(sqrt(3))/8

Prove that: cos 18^0 - sin 18^0 = sqrt(2) sin 27^0

Prove that: cos 18^0 - sin 18^0 = sqrt(2) sin 27^0

Prove that: cos18^0-sin18^0 = sqrt(2)sin27^0

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

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. If tanA=5/6 and tanB=1/(11),\ p rov e\ t h a t\ A+B=pi/4

    Text Solution

    |

  2. If tanA=m/(m-1)\ a n d tanB=1/(2m-1), then prove that A-B=\ pi/4

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that: sin^2(n+1)A-sin^2n A="sin"(2n+1)Asin A

    Text Solution

    |

  5. Prove that: (sin(A+B)+"sin"(A-B))/(cos(A+B)+"cos"(A-B))=t a n A

    Text Solution

    |

  6. Prove that: ("sin"(A-B))/(cos A cosB)+(sin(B-C))/(cos B cos C)+("sin"(...

    Text Solution

    |

  7. Prove that: ("sin"(A-B))/(sin A sin B)+("sin"(B-C))/(sin B sin C)+("si...

    Text Solution

    |

  8. Prove that: sin^2B=sin^2A+sin^2(A-B)-2sin A cos B sin(A-B)

    Text Solution

    |

  9. Prove that: cos^2A+cos^2B-2cosA\ cos B cos\ (A+B)=sin^2(A+B)

    Text Solution

    |

  10. Prove that: ("tan"(A+B))/("cot"(A-B))=\ (tan^2A-tan^2B)/(1-tan^2Atan^2...

    Text Solution

    |

  11. If tan A= xtanB then prove that sin(A-B)/sin(A+B)=(x-1)/(x+1)

    Text Solution

    |

  12. If tan(A+B)=x and tan(A-B)=y then find the values of tan2A and tan2B

    Text Solution

    |

  13. If cos A+sin B=m and sin A+cos B=n , prove that 2sin(A+B)=m^2+n^2-2.

    Text Solution

    |

  14. If tan A+tan B=a and cot A+cot B=b , prove that: cot(A+B)=1/a-1/b

    Text Solution

    |

  15. If sin(alpha+beta)=1 and sin(alpha-beta)=1/2, where 0lt=alpha, betalt=...

    Text Solution

    |

  16. If alpha, beta are two different values of x lying between 0 and 2pi ...

    Text Solution

    |

  17. Prove that (tan^2 (2theta)-tan^2 theta)/(1-tan^2 (2theta) tan^2 theta)...

    Text Solution

    |

  18. If sin alpha sin beta-cosalphacosbeta+1=0, then prove that 1+cotalphat...

    Text Solution

    |

  19. If t a nalpha=x+1,tanbeta=x-1, show that 2cot(alpha-beta)=x^2dot

    Text Solution

    |

  20. Find the maximum and minimum values of 7\ costheta+24\ sintheta

    Text Solution

    |