Home
Class 12
MATHS
(sin5theta+sin3theta)/(cos5theta+cos3the...

`(sin5theta+sin3theta)/(cos5theta+cos3theta)` is equal to

A

`sin 4theta`

B

`cos 4 theta`

C

`tan 4theta`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Now `(sin5theta+sin3theta)/(cos5theta+cos3theta)`
`=(2sin((5theta+3theta)/(2))cos((5theta-3theta)/(2)))/(2cos((5theta+3theta)/(2))cos((5theta-3theta)/(2)))`
`=(2sin4thetacostheta)/(2cos4thetacostheta)=tan4theta`
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 18

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|50 Videos

  • PRACTICE SET 20

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (Mathematics)|49 Videos

Similar Questions

Explore conceptually related problems

If 2 sin theta=5 cos theta , then (sin theta+cos theta)/(sin theta-cos theta) is equal to: यदि 2 sin theta=5 cos theta है, तो (sin theta+cos theta)/(sin theta-cos theta) का मान किसके बराबर होगा ?

If 3sin theta =2 cos theta , then (4sin theta - cos theta)/(4cos theta+sin theta) is equal to :

If 3 sin theta=2 cos theta , then 3 sin theta=2 cos theta , then (4 sin theta-cos theta)/(4 cos theta+sin theta) is equal to: यदि 3 sin theta=2 cos theta है, तो 3 sin theta=2 cos theta , then (4 sin theta-cos theta)/(4 cos theta+sin theta) का मान क्या होगा ?

(sin5theta+sin2theta-sin theta)/(cos5theta+2cos3theta+2cos^(2)theta+costheta) is equal to

Prove that :(sin5 theta+sin3 theta)/(cos5 theta+cos3 theta)=tan4 theta

If theta in the first quadrant and 5 tan theta =4 " then " ( 5 sin theta - 3 sin theta)/( sin theta + 2 cos theta) is equal to

If 2 cot theta =3 , then what is (2 cos theta -sin theta)/(2 cos theta + sin theta) equal to ?

1-(sin^(3)theta)/(sin theta+cos theta)-(cos^(3)theta)/(sin theta+cos theta) is equal to

(sin 3theta+sin5theta+sin7theta+sin9theta)/(cos 3theta+cos 5theta+cos 7theta+cos9theta) is equal to

(sin5 theta-2sin3 theta + sin theta) / (cos5 theta-cos theta) = tan theta

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 19-Paper 2 (Mathematics)
  1. int sec^(8//9)x cosec^(10//9)x dx is equal to

    Text Solution

    |

  2. Switching function of the network is

    Text Solution

    |

  3. Find the equation of the plane containing the lines (x-5)/4=(y-7)/4...

    Text Solution

    |

  4. If bar a,bar b,bar c are non coplanar vectors and lambda is a real nu...

    Text Solution

    |

  5. If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are t...

    Text Solution

    |

  6. "I f"int(dx)/(cos^3xsqrt(sin2x))=a(tan^2x+b)sqrt(tanx)+c

    Text Solution

    |

  7. Area bounded by the curve y=sin^(2)x and lines x=(pi)/(2),x=pi and X-a...

    Text Solution

    |

  8. If p and q are two statements, then (p rArr q) iff (~q rArr ~ p) is

    Text Solution

    |

  9. Inequation y-x le 0 represents

    Text Solution

    |

  10. The 5th term of the series (10)/(9),(1)/(3)sqrt((20)/(3)),(2)/(3),… is

    Text Solution

    |

  11. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  12. Equation of the ellipse whose foci are (2, 2) and (4, 2) and the major...

    Text Solution

    |

  13. (sin5theta+sin3theta)/(cos5theta+cos3theta) is equal to

    Text Solution

    |

  14. For the two circles x^2+y^2=16 and x^2+y^2-2y=0, there is/are

    Text Solution

    |

  15. Consider the inequalities x(1)+x(2)le3,2x(1)+5x(2)ge10x(1),x(2)ge0 whi...

    Text Solution

    |

  16. Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0...

    Text Solution

    |

  17. If f(x+y)=f(x)f(y) for all real x and y, f(6)=3 and f'(0)=10, then f'(...

    Text Solution

    |

  18. A ladder 10 m long rests against a vertical wall with the lower end on...

    Text Solution

    |

  19. If ax^(2)+bx+4 attains its minimum value -1 at x = 1, then the values ...

    Text Solution

    |

  20. The equation of the tangent to the curve y=(2x-1)e^(2(1-x)) at the p...

    Text Solution

    |