Home
Class 12
MATHS
If a^(2)(1- sin theta) +b^(2)(1+ sin the...

If `a^(2)(1- sin theta) +b^(2)(1+ sin theta)= 2 ab cos theta` then show that `2tan theta=(a)/(b)-(a)/(a)`

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos

  • METHOD OF SUBSTITUTION

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

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

If (a^(2)-b^(2))sin theta+2 ab cos theta-(a^(2)+b^(2))=0 , then prove that tan theta=(1)/(2)((a)/(b)-(b)/(a)) .

sin2theta - cos2theta =1

sin theta+ 2cos theta =1

If (sin theta + cos theta )=sqrt(2) cos theta , show that cot theta =(sqrt(2)+1).

"If " a sin theta + b cos theta = c " and " a cosec theta + b sec theta = c "show that ," sin 2 theta=(2ab)/(c^(2)-a^(2)-b^(2))

If sin ( pi cos theta ) = cos (pi sin theta ), , then show that theta =+- (1)/(2) sin ^(-1)""(3)/(4)

If (a^2-b^2) sin theta+2abcos theta =a^2+b^2 , find tan theta .

If cos theta+sin theta = sqrt2 cos theta , then show cos theta-sin theta = sqrt2 sin theta .

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

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

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If alpha=(pi)/(8 n) then prove that sin^(2) alpha+ sin^(2)3 alpha+ sin...

    Text Solution

    |

  2. If sin A+ tan A= a and cos A+ cot A= b, then show that (1+a)^(-2)+(1...

    Text Solution

    |

  3. If a^(2)(1- sin theta) +b^(2)(1+ sin theta)= 2 ab cos theta then show ...

    Text Solution

    |

  4. Show that (1+ sin A)/(cosA)+( cos B)/(1- sin B)=(2 (sin A- sin B))/(...

    Text Solution

    |

  5. If n is positive integer and "cos" (pi)/(2n)+"sin" (pi)/(2n) =(sqrt(n)...

    Text Solution

    |

  6. Solve : sec theta+"cosec" theta=2 sqrt(2)

    Text Solution

    |

  7. Solve : tan^(3) theta+ cot^(3) theta= 8 "cosec"^(3) 2 theta+12

    Text Solution

    |

  8. Solve : ("sin" (x)/(2) "cos" (x)/(2))/(1-8 "sin"^(2)(x)/(2) "cos"^(2...

    Text Solution

    |

  9. Solve : cos theta cos 2 theta cos 3 theta =(1)/(4) (0 le theta le p...

    Text Solution

    |

  10. If cos beta is the geometric mean of sin alpha and cos alpha, then sho...

    Text Solution

    |

  11. Prove that "sin" (pi)/(14)"sin" (3pi)/(14) "sin" (5pi)/(14) "sin" (7p...

    Text Solution

    |

  12. The sides of a triangles are in A.P.and the greatest angle exceeds the...

    Text Solution

    |

  13. Let 0 lt x lt pi, 0 lt y lt pi and cos x+ cos y - cos (x+y)=(3)/(2). ...

    Text Solution

    |

  14. Eliminate x and y from the following equations : a sin ^(2)+ b cos^(2)...

    Text Solution

    |

  15. Find the root of equation 2x^2+3 x + 11=0.

    Text Solution

    |

  16. If a cos theta+ b sin theta= c then find the quadratic equation whose...

    Text Solution

    |

  17. If alpha=(2pi)/(7) then prove that sin alpha sin 2 sin 4 alpha =-(sqrt...

    Text Solution

    |

  18. If A,B,C are the angles of a triangle, show that that greatest value o...

    Text Solution

    |

  19. If A,B,C are the angles of a triangle, find the maximum values of : ...

    Text Solution

    |

  20. If A,B,C are the angles of a triangle, find the maximum values of : ...

    Text Solution

    |