Home
Class 11
MATHS
Prove that (sin3x + sinx)sinx + (cos3x -...

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

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER (2)

    JBD PUBLICATION|Exercise EXERCISE|41 Videos
  • MODEL PAPER (4)

    JBD PUBLICATION|Exercise EXERCISE|39 Videos

Similar Questions

Explore conceptually related problems

Prove that: sin3x=3sinx-4sin^3x

Prove that sin4x = 4sinx cos^3x - 4cosx sin^3x

Prove that cot4x(sin5x + sin3x) = 2cos4x cosx

Prove that sin7x + sin5x + sin3x + sinx = 4cosx cos2x sin4x

Prove that (sinx - sin3x)/(cos^2x - sin^2x) = -2sinx

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

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

Prove that (cos^3x - sin^3x)/(cosx - sinx) = (2 + sin2x)/2

Prove that (cos5x - cosx)/(sin5x - 2sin3x + sinx) = cotx

Prove that sinx cosx [tanx + cotx] = 1

JBD PUBLICATION-MODEL PAPER (3)-EXERCISE
  1. The probability of getting at least one tail in 4 tosses of a coin is:

    Text Solution

    |

  2. Find the principal and general solutions of the following equation:- c...

    Text Solution

    |

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

    Text Solution

    |

  4. Find te sum and product of the complex numbers z1=-sqrt3+sqrt-2, z2=2s...

    Text Solution

    |

  5. Find the term independent of x in the expanson of [3/2 x^2-1/3x]^6.

    Text Solution

    |

  6. Write the middle term in the expansion of (x+1/x)^4.

    Text Solution

    |

  7. Find the ratio in which the line segment joining the point (-2,4,7) an...

    Text Solution

    |

  8. Find out which of the following sentences are statements and which are...

    Text Solution

    |

  9. Find out which of the following sentences are statements and which are...

    Text Solution

    |

  10. Check whether the following statement is true or not If x,y in z are s...

    Text Solution

    |

  11. If A=[2,4,6,8], B=[6,8,10,12], find AcapB

    Text Solution

    |

  12. If A=[2,4,6,8], B=[6,8,10,12], find A-B.

    Text Solution

    |

  13. If A=[2,4,6,8], B=[6,8,10,12], find B-A.

    Text Solution

    |

  14. If f(x)=x^2 then find the value of (f(1.1)-f(1))/(1.1-1).

    Text Solution

    |

  15. Find the general solution for each of the following equations: 4 sin^2...

    Text Solution

    |

  16. Show that: sn10^@+sin20^@+sin40^@+sin50^@=sin70^@+sin80^@

    Text Solution

    |

  17. Prove by the principle of mathematical induction: 1+2+3+……..+n<1/8(2n+...

    Text Solution

    |

  18. How many 3-digit even numbers can be made using the digits 1, 2, 3, 4,...

    Text Solution

    |

  19. How many chords can be drawn through 21 points on a circle?

    Text Solution

    |

  20. The sums of n terms of two arithmetic progressions are in the ratio 5n...

    Text Solution

    |