Home
Class 14
MATHS
If sin theta = (1)/(2) and theta is acut...

If `sin theta = (1)/(2)` and `theta` is acute, the `(3 cos theta - 4 cos^(3) theta)` is equal to
(a)0
(b)`(1)/(2)`
(c)`(1)/(6)`
(d)`-1`

A

0

B

`(1)/(2)`

C

`(1)/(6)`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST - 3

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos

  • MOCK TEST 1

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos

Similar Questions

Explore conceptually related problems

If sin theta = 1/2 and theta is acute then (3 cos theta -4 cos^(3) theta) is equal to

If sin2 theta-cos3 theta=0 and theta is acute then theta =

If sin theta+ cos theta= (1)/(2) , then 16(sin (2theta)+ cos (4theta) + sin (6theta)) is equal to

If sin theta_1 + sin theta_2 + sintheta_3 =3 then cos theta_1 + cos theta_2 + costheta_3 is equal to

If 5tan theta=4, then (5sin theta-3cos theta)/(5sin theta+2cos theta) is equal to 0 (b) 1 (c) (1)/(6)(d)6

The value of (sin2 theta+sin4 theta)/(1+cos2 theta+cos4 theta) is equal to

If sin theta_(1)+sin theta_(2)+sin theta_(3)=3, then cos theta_(1)+cos theta_(2)+cos theta_(3) is equal to 3(b)2(c)1(d)0

If sin theta cos theta = 1//2, then what is sin^6 theta +cos^6 theta equal to?

DISHA PUBLICATION-MOCK TEST - 4-Multiple Choice Questions
  1. Water drops fall at a uniform rate from a kalash (pot) over the Shiv L...

    Text Solution

    |

  2. (17 : 8) as (25 : 7) :: (32:5) as (overset(?)(-) : overset(?)(-))

    Text Solution

    |

  3. In our camp there are 10 soldiers, four of them run at the speed of 7....

    Text Solution

    |

  4. In our camp there are 10 soldiers, four of them run at the speed of 7....

    Text Solution

    |

  5. In our camp there are 10 soldiers, four of them run at the speed of 7....

    Text Solution

    |

  6. On a certain pasture the grass grow at an even rate. It is known that ...

    Text Solution

    |

  7. A person buys some apples and mangoes from the market at a rate such t...

    Text Solution

    |

  8. Shyama and Vyom walk up an escalator (moving stairway). The escalator ...

    Text Solution

    |

  9. A player rolls a die and receives the same number of rupees as the num...

    Text Solution

    |

  10. Consider all digits from 1 to 9. Suppose that three digits are selecte...

    Text Solution

    |

  11. A number lock can be unlocked by a 3 digit code, each digit of the cod...

    Text Solution

    |

  12. If sin theta = (1)/(2) and theta is acute, the (3 cos theta - 4 cos^(3...

    Text Solution

    |

  13. An aeroplane flying horiontally 1 km above the ground is observed at a...

    Text Solution

    |

  14. A and B start walking along a circle from the same point, in opposite ...

    Text Solution

    |

  15. A, B, C, D, are four towns at the vertices of a rectangle. W is a well...

    Text Solution

    |

  16. ABCD is a square, EFGH is another square. AE = FB = GC = HD = a and AH...

    Text Solution

    |

  17. Three circles of radius 1 cm are circumscribed by a circle of radius r...

    Text Solution

    |

  18. What is the ratio of the area of circle A to that of circle B ?

    Text Solution

    |

  19. A cylinder 84 cm high has a circumference of 16 cm. A string makes exa...

    Text Solution

    |

  20. A conical cap just covers two spheres placed one above the other on a ...

    Text Solution

    |