Home
Class 12
MATHS
Prove the following identities : 4 sin...

Prove the following identities :
`4 sin 23^(@) sin37^(@) sin 83^(@) = cos21^(@)`

Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|16 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Very Short Answer type Questions|14 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • TRIGONOMETRIC INVERSE CIRCULAR FUNCTIONS

    CHHAYA PUBLICATION|Exercise sample questions for competive examination|20 Videos

Similar Questions

Explore conceptually related problems

Prove the following identities: sin10^(@) sin50^(@) + sin50^(@) sin 250^(@) + sin 250^(@) sin 10^(@) = -3/4

Prove the following identities: sin63^(@)32'sin33^(@)32'+ sin26^(@)28'sin56^(@)28'= sqrt3/2

Prove the following identities: (cos10^(@)-sin10^(@))/(cos10^(@) + sin10^(@))=tan 35^(@)

Prove the following identities: sin A cos A (tanA+cotA)=1

Prove the following identities : (sin(A+B) - 2 sin A + sin (A-B))/(cos(A+B)-2cos A +cos (A-B))=tan A

Prove the following identities: cos^8A-sin^8A=(1-2sin^2Acos^2A)(1-2sin^2A)

Prove: (i) sin 45^(@) cos 65^(@) + sin 135^(@) cos 115^(@) = 0

Prove the following identities: (sin (2A + B))/sin A - 2 cos (A + B) = sin B/sin A

Prove the following identities : (sin theta +sin 3 theta + sin 5 theta + sin 7theta)/(cos theta + cos 3 theta + cos 5 theta + cos 7 theta)=tan 4 theta

Prove that sin19^(@) + sin41^(@) + sin83^(@) = sin23^(@) + sin37^(@) + sin79^(@)

CHHAYA PUBLICATION-TRANSFORMATIONS OF SUMS AND PRODUCTS-Short Answer Type Questions
  1. Prove that cos thetacos(60^(@)- theta)cos(60^(@)+theta) = 1/4 cos 3 ...

    Text Solution

    |

  2. Prove that 4 sin theta sin(pi/3 + theta) sin (pi/3-theta) = sin 3 th...

    Text Solution

    |

  3. Prove that cos alpha cos (120^(@) + alpha) cos (240^(@) + alpha) = 1...

    Text Solution

    |

  4. Find the value: sin 78^(@) - sin18^(@) + sin 30^(@) - sin42^(@)

    Text Solution

    |

  5. Find the value: sec20^(@) sec40^(@) sec80^(@)

    Text Solution

    |

  6. Find the value: sqrt3 cot20^(@) cot40^(@)cot80^(@)

    Text Solution

    |

  7. Find the value: 1/(2sin 10^(@))-2 sin 70^(@)

    Text Solution

    |

  8. Prove the following identities : 4 sin 23^(@) sin37^(@) sin 83^(@) =...

    Text Solution

    |

  9. Prove the following identities : cos2 A + cos 4A + cos 6A + cos8A =4...

    Text Solution

    |

  10. Prove the following identities : (sin(A+B) - 2 sin A + sin (A-B))/(c...

    Text Solution

    |

  11. Prove the following identities : (sin theta +sin 3 theta + sin 5 the...

    Text Solution

    |

  12. If 13theta =pi " show that"cos 3 theta + cos 5 theta + 2 cos theta co...

    Text Solution

    |

  13. If sin 2 alpha = 4 sin 2 beta, "show that", 5tan ( alpha -beta) = 3 ta...

    Text Solution

    |

  14. If sin A = m sin B, "prove that" "tan" (A-B)/2 = (m-1)/(m+1) "tan" (A+...

    Text Solution

    |

  15. If cos alpha = k cos beta , "show that", "tan" ( alpha+beta)/2 = ( 1-k...

    Text Solution

    |

  16. If "cosec"A + secA = "cosec"B + sec B prove that "tan"(A+B)/2 = cot ...

    Text Solution

    |

  17. If alpha,beta,gamma "are in A.P. show that" cot beta = (sin alpha - si...

    Text Solution

    |

  18. If cot y =(sin(z+x))/(cos (z-x)-cos(z+x)),"show that" cot x , cot y "a...

    Text Solution

    |

  19. If sinx + sin y = sqrt3 (cosy-cos x),"then show that" sin 3x+ sin 3y =...

    Text Solution

    |

  20. If cot theta = cos (x+y) "and" cot phi = cos (x-y), "show that" tan (t...

    Text Solution

    |