Home
Class 12
MATHS
Prove that, (1 + sin 2 theta - cos 2 the...

Prove that, `(1 + sin 2 theta - cos 2 theta)/(sin theta + cos theta)= 2 sin theta`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|30 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Multiple Correct Answere Type|5 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Questions|12 Videos

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

  • TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Prove that : (1+ sin theta - cos theta) / (1+ sin theta + cos theta ) = tan (theta/2)

sin2theta - cos2theta =1

sin theta+ 2cos theta =1

(1-cos2theta)/(sin2theta)=

Prove that (sin theta -cos theta+1 )/( sin theta + cos theta -1) =(1)/( sec theta -tan theta ) [use the identity sec ^(2) theta =1 +tan ^(2) theta ]

If (sin theta+cos theta)/(sin theta- cos theta) = 3/2 then cos theta =

If sin2 theta = cos 3 theta then theta =

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

If sin theta = cos theta then 2 theta =

sin4theta cos 2theta = cos5theta sin theta

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES-Short Answer Type Questions
  1. Prove that, (1+ cos 2 alpha + sin 2 alpha)/(1-cos 2 alpha +sin 2 alpha...

    Text Solution

    |

  2. Prove that, cos^(6) A + sin^(6) A = 1/4 (1 - 3 cos^(2) 2 A)

    Text Solution

    |

  3. Prove that, (1 + sin 2 theta - cos 2 theta)/(sin theta + cos theta)= 2...

    Text Solution

    |

  4. Prove that, cot x cos^(2)x -tan x sin^(2)x = 2 cot 2x

    Text Solution

    |

  5. Prove that, (sec 8 alpha -1)/(sec 4 alpha-1)= (tan 8 alpha)/(tan 2 alp...

    Text Solution

    |

  6. Prove that, cos 4 x - cos4 y = 8(cos x - cos y)(cos x + cos y)(cos x -...

    Text Solution

    |

  7. Prove that, (1+cosA+cos2A)/(sin A+sin2A)=cotA

    Text Solution

    |

  8. Prove that, (tan 5 A + tan 3 A)/(tan 5 - tan 3 A)=4 cos 4 A cos2 A

    Text Solution

    |

  9. Prove that, (cos30^(@) - sin 20^(@))/(cos 40^(@) + cos20^(@)) = 4/sqrt...

    Text Solution

    |

  10. Prove that, 4 (cos^(3) 10^(@) + sin^(3) 20 ^(@))=3 (cos 10^(@) + sin 2...

    Text Solution

    |

  11. Prove that, sqrt3/(sin 20^(@))-1/(cos 20^(@))=4

    Text Solution

    |

  12. Prove that,16 "cos" pi/15 "cos" (2pi)/15 "cos" (4pi)/15 "cos" (8pi)/15...

    Text Solution

    |

  13. Prove that,1/3 ( cos^(3) alpha sin 3 alpha + sin^(3) alpha cos 3 alpha...

    Text Solution

    |

  14. If tan^(2) alpha = 1 + 2 tan^(2) beta, "prove that ," cos 2 beta = 1 +...

    Text Solution

    |

  15. If sin alpha + cos alpha = sqrt2 cos alpha,"show that",tan 2 alpha = 1

    Text Solution

    |

  16. If " "2 cos (alpha + beta) cos (alpha-beta)=1, "show that," tan^(2) al...

    Text Solution

    |

  17. If " " tan theta = 1/7 " and " tan phi = 1/3 " show that", cos 2 theta...

    Text Solution

    |

  18. If" " tan theta = (sin alpha - cos alpha)/(sin alpha + cos alpha),"pro...

    Text Solution

    |

  19. If" " tan^(2) theta = 1 + 2 tan^(2) phi, "show that", cos 2theta + sin...

    Text Solution

    |

  20. If" " tan x=b/a, "find the value of " a^(2) "cosec2x + b^(2) sec 2x.

    Text Solution

    |