Home
Class 11
MATHS
Prove the following Identities sin x +...

Prove the following Identities `sin x +sin 2x + sin 4x +sin 5x = 4 cos(x/2).cos((3x)/2)sin3x`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise VERY SHORT ANSWER TYPE QUESTIONS|20 Videos

  • STRAIGHT LINES

    CBSE COMPLEMENTARY MATERIAL|Exercise SECTION-D (LONG ANSWER TYPE QUESTIONS )|23 Videos

Similar Questions

Explore conceptually related problems

Prove the following Identities (cos 4x sin 3x - cos 2xsin x)/(sin 4x.sin x +cos 6x.cos x)= tan 2x

sin3x+sin2x-sinx=4sinxcos(x/2)cos(3x/2)

Prove that sin3x+sin2x-sinx=4sinxcos(x/2)cos((3x)/2)

Prove that sin3x+sin2x-sinx=4sinxcos(x/2)cos((3x)/2)

Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x .

Prove that sin x + sin 3x + sin 5x + sin 7x=4 sin 4x cos 2x cos x.

Prove that: (i) sin 3x+"sin" 2x-"sin" x = 4 sin x cos((x)/(2))cos((3x)/(2)) (ii) ("sin" 3x+"sin" x)"sin" x+(cos 3x-cos x)cos x=0.

Prove that: sin" "3x" "+" "sin" "2x" "+" "sin" "x" "=" " 4" "sin" "x" "cos x/2 cos (3x)/2

(cos 4x sin 3x -cos 2x sin x )/(sin 4x sin x+ cos 6x cos x)= tan 2x

Prove the following: ("sin" 5x-2 sin 3x+"sin" x)/(cos 5x-cos x)="tan" x .

CBSE COMPLEMENTARY MATERIAL-TRIGONOMETRIC FUNCTIONS -SHORT ANSWER TYPE QUESTIONS
  1. Prove the following Identities cos 10^(@) + cos 110^(@) + cos 130^(...

    Text Solution

    |

  2. Prove the following Identities (sin(x+y)-2sinx+sin(x-y))/(cos(x+y)-...

    Text Solution

    |

  3. Prove the following Identities sin x +sin 2x + sin 4x +sin 5x = 4 co...

    Text Solution

    |

  4. Prove the following Identities (sec8theta-1)/(sec4theta-1)=(tan8the...

    Text Solution

    |

  5. find the value ofsqrt3cosec20^(@)-sec20^(@)

    Text Solution

    |

  6. The value of co s pi/5 co s.2pi / 5 c o s 4pi / 5 co s 8pi / 5 =

    Text Solution

    |

  7. cos 20^@ cos 40^@ cos 80^@=

    Text Solution

    |

  8. Find the general solution of the following equations sin 7x = sin 3...

    Text Solution

    |

  9. Find the general solutions of each of the following equations : (1) ...

    Text Solution

    |

  10. Solve sin x-3 sin 2x + sin 3x = cos x -3 cos 2x + cos 3x.

    Text Solution

    |

  11. Draw the graph of cosx, sin x and tan x in [0, 2pi]

    Text Solution

    |

  12. Draw sin x, sin 2x and sin 3x on same graph and with same scale

    Text Solution

    |

  13. Evaluate(i) cos 36^(@) (ii)tan((13pi)/(12))

    Text Solution

    |

  14. cos^4(pi/8)+cos^4((3pi)/8)+cos^4((5pi)/8)+cos^4((7pi)/8)=

    Text Solution

    |

  15. If tanA=tanB=xa n dcotB-cotA=y , prove that cot(A-B)=1/x+1/y

    Text Solution

    |

  16. If (sin(x+y))/(sin(x-y))=(a+b)/(a-b) , then show that (tanx)/(tany)=(...

    Text Solution

    |

  17. if coxx=cosalpha.cosbeta then prove that tan((x+alpha)/2)*tan((x-alpha...

    Text Solution

    |

  18. If tan(picostheta)=cot(pisintheta), then cos(theta-(pi)/(4))=pm(1)/(2s...

    Text Solution

    |

  19. If sin(theta+alpha)=aa n dsin(theta+beta)=b , prove that cos2(alpha-be...

    Text Solution

    |

  20. Find the range of 5 sin x – 12 cos x + 7

    Text Solution

    |