Home
Class 12
MATHS
The range of 8 cos theta - 15 sin theta ...

The range of `8 cos theta - 15 sin theta ` is

A

[-16,16]

B

[-17,17]

C

[-18,18]

D

[-19,19]

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -1|15 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -2|15 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 F ( PERIODIC FUNCTIONS )|39 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

Find range of 'theta' if cos theta + sin theta is positive

If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1- cos theta + sin theta )/(1+ sin theta )

(1+ sin theta - cos theta )/( 1+ sin theta + cos theta ) + (1+ sin theta + cos theta )/( 1+ sin theta - cos theta ) =

The inverse of A=[( cos theta, sin theta),(-sin theta, cos theta)] is

Show that (1 + sin theta)/ cos theta + cos theta / (1 + sin theta) = 2 sec theta

If cot theta = (b)/a " then " ( a sin theta - b cos theta )/( a sin theta + b cos theta ) =

Show that the range of sin^(2) theta + cos^(4) theta si [(3)/(4),1]

P (cos theta , - cos theta ) , Q( sin theta , sin theta ) then PQ = ......

((cos theta - cos 3 theta ) ( sin 8 theta + sin 2 theta ))/(( sin 5 theta - sin theta )( cos 4 theta - cos 6 theta ))=

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 G ( VARIATION IN TRIGONOMETRIC FUNCTIONS )
  1. ("Minimum of "(sin^(2) x+ cos^(2)x))/("Maximum of " [sin^(2) (3x//2)+c...

    Text Solution

    |

  2. For x in R , 3 cos (4x-5) +4 lies in the interval

    Text Solution

    |

  3. The range of 8 cos theta - 15 sin theta is

    Text Solution

    |

  4. If A= cos theta + 2 sqrt(2) sin theta , then for all real values of t...

    Text Solution

    |

  5. If y=1+4sin^2 x cos^(2) x , then

    Text Solution

    |

  6. The value of cos theta + 3sqrt(2) sin ( theta + pi//4) + 6 lies betw...

    Text Solution

    |

  7. If f(x)=sin^(6) x + cos^(6) x for x in R , then f(x) lies in the int...

    Text Solution

    |

  8. Minimum value of 4 tan x + 9 cot x is

    Text Solution

    |

  9. Minimum value of 5sec x + 4 tan x is

    Text Solution

    |

  10. Minimum value of sin^(2) theta + "cosec"^(2) theta is

    Text Solution

    |

  11. Minimum value of 24 cos^(2) x+ 16 sec^(2) x is

    Text Solution

    |

  12. The least value of 4 sec^(2) theta + 9 " cosec"^(2) theta is

    Text Solution

    |

  13. The range of f(x)=-3 cos sqrt(3x+x+x^(2)) is

    Text Solution

    |

  14. If 0 le theta le pi//2 then

    Text Solution

    |

  15. Maximum value of sin x cos x is obtained at

    Text Solution

    |

  16. Maximum value of cos x+ sqrt(3) sin x -2 is obtained at

    Text Solution

    |

  17. Minimum value of cos x + sin x is obtained at

    Text Solution

    |

  18. The graph of cot theta , pi//2 lt theta lt 3 pi//2 is discontinuous a...

    Text Solution

    |

  19. The graph of tan theta , 0 lt theta lt pi is discontinuous at theta...

    Text Solution

    |

  20. If sqrt(3) sin x + cos x is maximum , then x

    Text Solution

    |