Home
Class 11
MATHS
If sin A sin 2A = x and cos A + cos 2A =...

If sin A sin 2A = x and cos A + cos 2A = y, then `(x^(2)+y^(2)) (x^(2)+y^(2))=`

A

`2y`

B

`y`

C

3y

D

4y

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|101 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

If sinA+sin2A=xandcosA+cos2A=y , then (x^(2)+y^(2))(x^(2)+y^(2)-3)=?

If sin x + sin y = a and cos x + cos y = b then tan ((x + y) / (2)) is

If x=sin A cos B and y=sin A sin B and z=cos A then find x^(2)+y^(2)+z^(2)

If sin x + sin y = a and cos x + cos y = b, than tan^2((x+y)/(2))+tan^2((x-y)/(2)) is equal to:

If x = a cos ^ (2) theta sin theta and y = a sin ^ (2) theta cos theta then ((x ^ (2) + y ^ (2)) ^ (3)) / (x ^ (2 ) and ^ (2)) =

If sin x+sin y=a and cos x+cos y=b then cos(x-y) is equal to (1)/(2)(a^(2)+b^(2)-2)(B)(1)/(2)(a^(2)+b^(2)+2)

If sin x+sin y=a and cos x-cos y=b Then f ind value of (1)/(2)(2-a^(2)-b^(2))

If y= sin x+cos x then (d^(2)y)/(dx^(2)) is :-

If x = 4 cos A + 5 sin A and y = 4 sin A - 5 cos A, then the value of x^(2) + y^(2) is:

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
  1. If tan^2theta=2tan^2varphi+1,t h e ncos2theta+sin^2varphi equals -1 (...

    Text Solution

    |

  2. If tantheta-cottheta=aandsintheta+costheta=b(b^2-1)^2(a^2+4) is equal...

    Text Solution

    |

  3. If sin A sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+...

    Text Solution

    |

  4. If tan x= (2b)/(a-c), a!=c, y = a cos^2 x +2b sin x*cos x + c sin^2x, ...

    Text Solution

    |

  5. 8*sin(x/8)*cos(x/2)*cos(x/4)*cos(x/8)=

    Text Solution

    |

  6. If x= cos 10^(@)cos 20^(@) cos 40^(@), then the value of x is

    Text Solution

    |

  7. If theta =(pi)/(2 ^(n) +1), then cos theta cos 2 theta cos 2^(2) the...

    Text Solution

    |

  8. cos(pi/7)cos((2pi)/7)cos((4pi)/7)=

    Text Solution

    |

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

    Text Solution

    |

  10. The value of (1)/(sin 10^(@)) -(sqrt3)/(cos 10^(@)) is equal to

    Text Solution

    |

  11. If |tanA|lt1and |A|is acute, then (sqrt(1+sin2A)+sqrt(1-sin2A))/(sqrt...

    Text Solution

    |

  12. If tanx=b/a then sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

    Text Solution

    |

  13. Show that: t a n(60^0+theta)t a n(60^0-theta)=(2cos2theta+1)/(2cos2the...

    Text Solution

    |

  14. Maximum value of sin^4 theta + cos^4 theta is

    Text Solution

    |

  15. Let B =2 sin ^(2) x - cos 2x, then

    Text Solution

    |

  16. If 3 sin 2 theta = 2 sin 3 theta and 0 lt theta lt pi, then sin theta ...

    Text Solution

    |

  17. If sin 2A =sin 3A and 0 le A le 90^(@), then A is equal to

    Text Solution

    |

  18. Solve that following equations : "tantheta"+"tan"(theta+pi/3)+"tan"(t...

    Text Solution

    |

  19. If sin theta =-4/5 and theta lies in third quadrant, then the valu...

    Text Solution

    |

  20. If sec theta =1 (1)/(4), then tan ""(theta)/(2)=

    Text Solution

    |