Home
Class 12
MATHS
If A lies in the third quadrant and 3 ta...

If A lies in the third quadrant and `3 tan A-4 = 0,` then `5 sin 2A + 3sinA + 4 cosA` is equal to

A

0

B

`(-24)/(5)`

C

`24/5`

D

48/5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos
  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If A lies in second quadrant and 3tanA+4=0, then the value of 2cotA-5cos A+sinA is equal to (a) -53//10 (b) 23//10 37//10 (d) 7/10

If A lies in the second quadrant and 3tanA+4=0 , then the value of 2cotA-5cosA+sinA is

If A lies in the second quadrant and 3tanA + 4=0 , then find the value of 2cotA-5cosA+ sinA .

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

If sinA, cosA and tanA are in G.P, the cos^(3)A+cos^(2)A is equal to :

in which quadrant (3/2, 5) lies

If theta lies in the second quadrant and tan theta=(-5)/(12) , find the value of (2cos theta)/(1-sin theta) .

If sinA+cosA=0 and A lies in 4th quadrant, find the values of sinA and cosA.

If secA=-2 and A lies in third quadrant, find the value of (4 cot^(2)A-3sin^(2)A) .

If tantheta=3 and theta lies in third quadrant then sintheta=

OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If sinα.sinβ−cosα.cosβ+1=0 then show that 1+cotα.tanβ=0

    Text Solution

    |

  2. If sintheta(1)+sintheta(2)+sintheta(3)=3, then cos theta(1)+cos theta(...

    Text Solution

    |

  3. If A lies in the third quadrant and 3 tan A-4 = 0, then 5 sin 2A + 3si...

    Text Solution

    |

  4. tan 5x tan3x tan2x=

    Text Solution

    |

  5. The value of sin12^(@)sin24^(@)sin48^(@)sin84^(@), is

    Text Solution

    |

  6. If A+B+C=(3pi)/2, t h e ncos2A+cos2B+cos2C is equal to 1-4cos Acos Bc...

    Text Solution

    |

  7. If A+C=B,then tanA tanBtanC=

    Text Solution

    |

  8. If tan(cotx)=cot(tanx), then sin2x is equal to

    Text Solution

    |

  9. If tan theta=a/b then b cos 2theta+asin 2theta=

    Text Solution

    |

  10. If A=130^(@)and x=sinA+cosA, then

    Text Solution

    |

  11. The value of the expression |vecaxxvecb|^(2)+(veca.vecb)^(2) is….. .

    Text Solution

    |

  12. If A=sin^(2)theta+cos^(4)theta, then find all real values of theta.

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. Which of the following statement is incorrect

    Text Solution

    |

  15. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

    Text Solution

    |

  16. If sintheta+cosectheta=2, then "sin"^(2)theta+"cosec"^(2)theta is equa...

    Text Solution

    |

  17. If tantheta=(1)/(2) and tanphi=(1)/(3), then the value of theta+phi i...

    Text Solution

    |

  18. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

    Text Solution

    |

  19. Write the maximum value of 12 sintheta-9sin^2\ \ thetadot

    Text Solution

    |

  20. If f(x)="cos"^(2)x+"sec"^(2)x, then (i) f(x)lt1 (ii) f(x)=1 (iii...

    Text Solution

    |