Home
Class 11
MATHS
prove that sintheta.sec3theta+sin3theta....

prove that `sintheta.sec3theta+sin3theta.sec3^2theta+sin3^2theta.sec3^3theta+ u p ton` terms `=1/2[tan3^ntheta-tantheta]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

prove that sinthetadotsec3theta+sin3theta,sec3^2theta+sin3^2thetadotsec3^3theta+ u p ton terms =1/2[tan3^ntheta-tantheta]

Prove that: sectheta sec 2theta+sec2thetasec3theta+sec3theta.sec4theta+…to n terms = 1/(sintheta) [tan(n+1)theta-tantheta]

Prove that sintheta+s in3theta+sin5theta++sin(2n-1)theta=(sin^2ntheta)/(sintheta)dot

Prove that tantheta=(sintheta-2sin^3theta)/(2cos^3theta-costheta)

Prove that sintheta+sin3theta+sin5theta+.....+sin(2n-1)theta=(sin^2ntheta)/(sintheta)dot

Prove: sec^6theta=tan^6theta+3tan^2thetasec^2theta+1

Prove that: (sintheta+sin3theta+sin5theta+… to n terms)/(costheta+cos3theta+cos5theta+…to n terms)= tan ntheta

Prove that: (sintheta+sin3theta+sin5theta+… to n terms)/(costheta+cos3theta+cos5theta+…to n terms)= tan ntheta

Prove that (cos theta-sintheta)/(cos theta+sintheta)=sec 2 theta-tan 2theta .

Prove that : (sin^(2)theta)/(cos theta)+cos theta=sec theta

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Solve (log)(tanx)(2+4cos^2x)=2

    Text Solution

    |

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

    Text Solution

    |

  3. prove that sintheta.sec3theta+sin3theta.sec3^2theta+sin3^2theta.sec3^3...

    Text Solution

    |

  4. Solve 4cot2theta=cot^2theta-tan^2theta

    Text Solution

    |

  5. Find the range of f(x)=sin^2x-3sinx+2

    Text Solution

    |

  6. Prove that (cos10^0+sin10^0)/(cos10^0-sin 10^0)=tan55^0

    Text Solution

    |

  7. Find the range of f(x)=1/(4cosx-3)dot

    Text Solution

    |

  8. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

    Text Solution

    |

  9. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  10. If in triangle A B C ,/C=45^0 then find the range of the values of sin...

    Text Solution

    |

  11. Solve sqrt(3)costheta+sintheta=sqrt(2)

    Text Solution

    |

  12. Find the range of f(x)=1/(5sinx-6)

    Text Solution

    |

  13. Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...

    Text Solution

    |

  14. Prove that: sum(k=1)^(100)sin(k x)cos(101-k)x=50"sin"(101 x)

    Text Solution

    |

  15. The expression 3[sin^4(3/2pi-alpha)+sin^4(3pi+alpha)]-2[sin^6(1/2pi+al...

    Text Solution

    |

  16. Solve sqrt(3)costheta-3sintheta=4sin2thetacos3thetadot

    Text Solution

    |

  17. Consider a triangle A B C and let a , ba n dc denote the lengths of th...

    Text Solution

    |

  18. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

    Text Solution

    |

  19. Find the number of integral value of n so that sinx(sinx+cosx)=n has a...

    Text Solution

    |

  20. In triangle ABC,angleC=(2pi)/3 and CD is the internal angle bisector ...

    Text Solution

    |