Home
Class 11
MATHS
Prove that (cos3A + sin3A)/(cosA - sin A...

Prove that `(cos3A + sin3A)/(cosA - sin A) = 1+ 2sin 2A`.

Text Solution

Verified by Experts

The correct Answer is:
`2+sqrt3`
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE 3.1 ( LONG ANSWER QUESTION )|9 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE |15 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE 3.1 (VERY SHORT ANSWER )|7 Videos

  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

Similar Questions

Explore conceptually related problems

(cos3A+sin3A)/(cosA-sinA)=

If ( cos 3A+ sin 3A)/( cos A - sin A )=1-k sin 2A , the value of k is

If cos A = 3/4 then (2cos A + 3 sin A)/(4 cos A - sin A) =

Prove that cos A/(1 - tan A) + sin A /(1 - cot A) = sin A + cos A

(cos A - cos 3A)/(cos A) + (sin A + sin 3A)/(sin A)=

If A+B+C=(3pi)/(2), prove that cos 2A+ cos 2B+ cos 2C=1-4 sin A sin B sin C .

If A+B+C=(pi)/(2) , then prove that cos 2A + cos 2B + cos 2C=1+4 sin A sin B sin C .

If A, B, C are angles of a triangle , prove that cos 2A - cos 2B + cos 2C =1 -4 sin A cos B sin C

( cos^(3) A + sin^(3) A )/( cos A + sin A ) + (cos^(3) A - sin^(3)A)/( cos A- sin A) =

Prove that = (sin 5x - 2 sin 3 x + sin x)/( cos 5x - cos x) = tan x

AAKASH SERIES-MULTIPLE & SUBMULTIPLE ANGLES-EXERCISE 3.1 ( SHORT ANSWER QUESTION )
  1. If none of 2A, 3A is an odd multiple of pi/2 then prove that tan 3A ...

    Text Solution

    |

  2. For alpha , beta in R, prove that (cos alpha + cos beta )^(2)+ (sin al...

    Text Solution

    |

  3. IF theta is not an integral muliple of pi/2, prove that tantheta+2ta...

    Text Solution

    |

  4. Prove that (cos3A + sin3A)/(cosA - sin A) = 1+ 2sin 2A.

    Text Solution

    |

  5. Prove that cot(pi/4-theta)=(cos2theta)/(1-sin2theta) and hence find th...

    Text Solution

    |

  6. If theta lies in third Quardrant and Sintheta=(-4)/5. Find the values ...

    Text Solution

    |

  7. If 450^(@)lt theta lt 540^(@) and Sintheta=12/13 then calculate "Sin"t...

    Text Solution

    |

  8. Prove that (sin2A)/((1+Cos2A))((CosA))/(1+CosA)=tan.A/2

    Text Solution

    |

  9. (Cos^(3)theta-Cos3theta)/(Costheta)+(Sin^(3)theta+Sin3theta)/(Sintheta...

    Text Solution

    |

  10. Show that CosA=(Cos3A)/(2Cos2A-1). Hence find the value of Cos15^(@)

    Text Solution

    |

  11. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

    Text Solution

    |

  12. Prove that tanalpha=(Sin2alpha)/(1+cos2alpha) and hence deduce the val...

    Text Solution

    |

  13. In aDelta^("le") ABC If "Tan"(A)/(2)=(5)/(6),"Tan"(B)/(2)=(20)/(37) th...

    Text Solution

    |

  14. If Costheta=5/13 and 270^(@)ltthetalt360^(@). Evaluate "Sin"theta/2 an...

    Text Solution

    |

  15. If 180^(@)lt thetalt270^(@) and Sintheta=(-4)/5 calculate "Sin"theta/2...

    Text Solution

    |

  16. Show that sin""(pi)/5.sin""(2pi)/5.sin""(3pi)/5.sin""(4pi)/5=5/16.

    Text Solution

    |

  17. Prove that cos ^(2). (pi)/(8) + cos ^(2). (3pi)/(8)+ cos ^(2). (5 pi )...

    Text Solution

    |

  18. Prove that "Cos"^(2)(pi/10)+"Cos"^(2)((2pi)/5)+"Cos"^(2)((3pi)/5)+"Cos...

    Text Solution

    |