Home
Class 11
MATHS
Prove that (sin 3 x+sin x) sin x+(cos 3 ...

Prove that `(sin 3 x+sin x) sin x+(cos 3 x-cos x)cosx=0`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    V PUBLICATION|Exercise QUESTIONBANK|99 Videos

Similar Questions

Explore conceptually related problems

Prove that (sin3x+sinx)sinx+(cos3x-cosx)cosx=0

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

Prove that (sin 5 x+sin 3 x)/(cos 5 x+cos 3 x)=tan 4 x

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

Prove that ((sin 7 x+sin 5 x)+(sin 9 x+sin 3 x))/((cos 7 x+cos 5 x)+(cos 9 x+cos 3 x))=tan 6 x

Prove that (sin 5x+sin3x)/(cos 5x+cos3x)=tan4x

Prove that (sin 5x+sin3x)/(cos 5x+cos3x)=tan4x

Prove that (sin x-sin 3 x)/(sin ^(2) x-cos ^(2) x)=2 sin x

Prove that (sinx+sin3x)/(cosx+cos3x)=tan2x

Prove that sin 2 x+2 sin 4 x+sin 6 x=4 cos ^(2) x sin 4 x

V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
  1. Show that (sin (180^(circ)+A) cos (90^(circ)-A) tan (270^(circ)+A))/(s...

    Text Solution

    |

  2. Prove that cos ^(4) (pi)/(8)+cos ^(4) (3 pi)/(8)+cos ^(4) (5 pi)/(8)+c...

    Text Solution

    |

  3. Prove that (sin 3 x+sin x) sin x+(cos 3 x-cos x)cosx=0

    Text Solution

    |

  4. If an arc of length l of a circle of radius r subtends an angle theta ...

    Text Solution

    |

  5. A cow is tied to a post with a rope of 20 m long .If it moves along a ...

    Text Solution

    |

  6. Three points A, B, C are marked in the stem of a coconut trees so that...

    Text Solution

    |

  7. Prove that sin ^(2) A cos ^(2) B+cos ^(2) A sin ^(2) B+cos ^(2) A cos ...

    Text Solution

    |

  8. Prove that sqrt((1+cosA)/(1-cos A))=cosecA+cot A

    Text Solution

    |

  9. Prove that 2 sec ^(2) theta-2 cosec^2theta-sec ^(4) theta+cosec^4 thet...

    Text Solution

    |

  10. Prove that (sec A-cosec A)(1+tan A+cot A)=tan A secA + cotA cosec A

    Text Solution

    |

  11. If cos theta+sin theta=sqrt(2) cos theta,then show that cos theta-sin...

    Text Solution

    |

  12. If tan ^(2) theta=1-k^(2), show that sec theta+tan ^(3) theta cosecthe...

    Text Solution

    |

  13. If a cos theta+b sin theta=c, show that asin theta-bcos theta=pm sqrt(...

    Text Solution

    |

  14. If T(n)=sin ^(n) theta+cos ^(n) theta. prove that (T(3)-T5)/(T1)=(T5-T...

    Text Solution

    |

  15. Find the quadrant in which cos theta is negative and tantheta is posi...

    Text Solution

    |

  16. Show that sec ^(2) theta+cosec^(2) theta geq 4

    Text Solution

    |

  17. Prove that cos theta+sec theta can never be equal to (3)/(2)

    Text Solution

    |

  18. If x be real, show that cos theta cannot be equal to x+(1)/(x).

    Text Solution

    |

  19. Show that (i) sin ^(2) 6 x-sin ^(2) dot(4) x=sin 2 x sin 10 x (ii) ...

    Text Solution

    |

  20. If x and y be real, show that the equation sec ^(2) theta=(4 xy)/((x+y...

    Text Solution

    |