Home
Class 10
MATHS
If cos theta ge (1)/(2) in the first qua...

If `cos theta ge (1)/(2)` in the first quardrant, which one of the followings is correct ?

A

`theta le (pi)/(3)`

B

`theta ge (pi)/(3)`

C

`theta le (pi)/(6)`

D

`theta le (pi)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|66 Videos

  • THEOREMS RELATED TO TANGENT IN A CIRCLE

    CALCUTTA BOOK HOUSE|Exercise EXERCISE 4.2|23 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    CALCUTTA BOOK HOUSE|Exercise EXERCISE|28 Videos

Similar Questions

Explore conceptually related problems

If cos theta =tan theta, then which one of the following is correct ?

Based on the first law of thermodynamics, which one of the following is correct

If x sin ^(3) theta + y cos ^(3) theta = sin theta cos theta and x sin theta = y cos theta, then which one of the following is correct ?

If x=sin ^(2) theta + cosec ^(2) theta, then which one of the following is correct ?

1-cos2theta =

If A=sin^(4) theta+cos^(4) theta , then which one of the followings is correct?

If |x-1| +|x-2| + |x-3| ge 6, then which of the following is correct ?

If A(theta)=[(sin theta, i cos theta),(i cos theta, sin theta)] , then which of the following is not true ?

If 2 cos 3 theta=1 , then theta =

CALCUTTA BOOK HOUSE-TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES -EXERCISE
  1. If sin27^(@)=0.454, then find the value of cos 243^(@) .

    Text Solution

    |

  2. If tanA+sinA=p and tanA-sinA=q, then which one of the following is cor...

    Text Solution

    |

  3. If cos theta ge (1)/(2) in the first quardrant, which one of the follo...

    Text Solution

    |

  4. If A=sin^(4) theta+cos^(4) theta, then which one of the followings is...

    Text Solution

    |

  5. If (1+tanA)(1+tanB)=2, then tan(A+B)=

    Text Solution

    |

  6. Write 'true' or 'false' : sec theta=(2xy)/(x^(2)+y^(2))

    Text Solution

    |

  7. Write 'true' or 'false' : sin theta=(x^(2)+y^(2))/(2xy)

    Text Solution

    |

  8. Fill in the blanks : If sin^(4)A+sin^(2)A=1, then cot^(4)A+cot^(2)...

    Text Solution

    |

  9. Fill in the blanks : "tan"(pi)/(16) "tan"(3pi)/(16)"tan"(5pi)/(16)"t...

    Text Solution

    |

  10. Fill in the blanks : tan theta=sqrt(3), cos theta= -(1)/(2) and 0^(...

    Text Solution

    |

  11. If theta lies in the fourth quadrant and sec theta=(5)/(3), then the ...

    Text Solution

    |

  12. If cos (A-B)=(1)/(2) and cot(A+B)=sqrt(3), then find the least positiv...

    Text Solution

    |

  13. If n be an integer, then find the value of tan{(npi)/(2)+(-1)^(n).(pi...

    Text Solution

    |

  14. Find the least value of (2 sin^(2)theta+3 cos^(2)theta).

    Text Solution

    |

  15. If cos theta+sectheta=sqrt(3), then prove that cos^(3)theta+sec^(3)the...

    Text Solution

    |

  16. If 3 sin theta+4 cos theta=5, then prove that sin theta=(3)/(5).

    Text Solution

    |

  17. If sin theta+"cosec"theta=2, then prove that sin^(7) theta+"cosec"^(7)...

    Text Solution

    |

  18. If cos theta-sin theta=sqrt(2)cos theta, then prove that cos theta+sin...

    Text Solution

    |

  19. If (a^(2)-b^(2))sin theta+2 ab cos theta-(a^(2)+b^(2))=0, then prove t...

    Text Solution

    |

  20. Prove that tan theta+sqrt((1-sintheta)/(1+sin theta))=sec theta.

    Text Solution

    |