Home
Class 11
MATHS
If Tn=sin^nx+cos^nx , prove that (i) 2...

If `T_n=sin^nx+cos^nx` , prove that (i) `2T_6-3T_4+10=0`

Text Solution

AI Generated Solution

To prove that \(2T_6 - 3T_4 + 10 = 0\), we start by substituting the definition of \(T_n\): \[ T_n = \sin^n x + \cos^n x \] Thus, we have: ...
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|120 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

If T_(n)=sin^(n)x+cos^(n)x, prove that 2T_(6)-3T_(4)+1=0

If T_(n)=sin^(n)x+cos^(pi)x prove that (T_(3)-T_(5))/(T_(1))=(T_(5)-T_(7))/(T_(3))

Prove the trigonometric identities: If T_(n)=sin^(n)theta+cos^(n)theta, prove that (T_(3)-T_(5))/(T_(1))=(T_(5)-T_(7))/(T_(3))

If T_n = sin^(n)theta + cos^(n)theta then prove that (T_5 -T_3): (T_7- T_5) = T_1 :T_3 .

If T_n =sin^n theta+cos^n theta, then (T_6-T_4)/T_6 =m holds for values of m satisfying (A) m in [-1, 1/3] (B) m in [0, 1/3] (C) m in [-1,0] (D) m in [-1, - 1/2]

If T_(n)=cos^(n)theta+sin ^(n)theta, then 2T_(6)-3T_(4)+1=

If T_(n)=sin^(n)theta+cos^(n)theta , then (T_(6)-T_(4))/(T_(6))=m holds for values of m satisfying

If T_(n)=sin^(n)theta+cos^(n)theta , then (T_(6)-T_(4))/(T_(6))=m holds for values of m satisfying

RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If a=s e ctheta-t a ntheta and b=cos e ctheta+cottheta , then show tha...

    Text Solution

    |

  2. If cotx(1+sinx)=4m andcotx(1-sinx)=4n , prove that (m^2-n^2)^2=m n .

    Text Solution

    |

  3. If Tn=sin^nx+cos^nx , prove that (i) 2T6-3T4+10=0

    Text Solution

    |

  4. Prove that: sqrt((1-sintheta)/(1+sin theta))+sqrt((1+sintheta)/(1-sint...

    Text Solution

    |

  5. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

    Text Solution

    |

  6. If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(...

    Text Solution

    |

  7. If t a ntheta+sintheta=m and tantheta-sintheta=n , show m^(2-)n^2=4sq...

    Text Solution

    |

  8. Prove that: s e c^2theta+cos e c^2theta=cosec^2θ.sec^2θ .

    Text Solution

    |

  9. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

    Text Solution

    |

  10. Prove that: 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta...

    Text Solution

    |

  11. Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=...

    Text Solution

    |

  12. If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5c...

    Text Solution

    |

  13. Which of the following is correct? s in1^0> s in1 (b) s in1^0<s in1 ...

    Text Solution

    |

  14. If f(x)=cos^2x+s e c^2x ,t h e n (a)f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1...

    Text Solution

    |

  15. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= (a)x ,1/x (b) 2x ,...

    Text Solution

    |

  16. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=...

    Text Solution

    |

  17. If cos e cx+cotx=(11)/2 , then t a nx= (a)(21)/(22) (b) (15)/(16) (...

    Text Solution

    |

  18. If (3pi)/4ltalphaltpi, t h e nsqrt(2cotalpha+1/(sin^2alpha)) is equal ...

    Text Solution

    |

  19. If x=rsinthetacosphi,y=rsinthetasinphi and z=rcostheta, then x^2+y^2+...

    Text Solution

    |

  20. If sintheta+costheta=0 and theta lies in the fourth quadrant, find si...

    Text Solution

    |