Home
Class 11
MATHS
If tan theta = 3 and theta is in third ...

If `tan theta = 3` and ` theta` is in third quadrant then `sin theta = 3/sqrt10`.

Text Solution

Verified by Experts

The correct Answer is:
False Statement
Promotional Banner

Topper's Solved these Questions

  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Principle of Mathematical Induction (Fill in the blanks)|20 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Complex numbers and Quadratic Equations (Fill in the Blanks)|40 Videos
  • OBJECTIVE SECTION AS PER NEW PAPER SCHEME

    KUMAR PRAKASHAN|Exercise Trigonometric Functions (Fill in the blanks)|62 Videos
  • MATHEMATICAL REASONING

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (Knowledge Test:)|2 Videos
  • PERMUTATIONS AND COMBINATIONS

    KUMAR PRAKASHAN|Exercise PRACTICE WORK |40 Videos

Similar Questions

Explore conceptually related problems

If tan theta=(1)/sqrt(5) and theta lies in the first quadrant, the value of cos theta is :

If cot theta=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

If costheta + sin theta = sqrt2 cos theta , prove that cos theta - sin theta = sqrt2 sin theta .

If tan theta = sqrt2-1 then tan (2theta)=1 .

If tan theta +sin theta = p and tan theta-sin theta = q , prove that p^(2)-q^(2)=4sqrt(pq)

If 0 lt theta lt (pi)/2 and 5 tan theta = 4 then (5 sin theta - 3 cos theta) / (sintheta +2 cos theta ) = 5/14

if sin^3theta=3/2 and sin3theta=4/3 then what is the value of sintheta

Show that (1)/( cos theta ) -cos theta =tan theta .sin theta

If sin theta_1 + sintheta_2 + sin theta_3=3, then find the value of cos theta_1 + cos theta_2 + cos theta_3.

The number of values of theta in the interval (-pi/2,pi/2) such that theta != npi/5 for ninN and tan theta = cot 5theta as well as sin2theta = cos 4theta is

KUMAR PRAKASHAN-OBJECTIVE SECTION AS PER NEW PAPER SCHEME -Trigonometric Functions (True /False Statement)
  1. Value of the rotation of point P on unit circle increase in multiple o...

    Text Solution

    |

  2. If tan theta = 3 and theta is in third quadrant then sin theta = 3/sq...

    Text Solution

    |

  3. sin^(4) theta + cos ^(4) theta + 2sin^(2) theta cos ^(2) theta has val...

    Text Solution

    |

  4. Point of intersection of the graph of sine function with X - axis has ...

    Text Solution

    |

  5. If f(x)=cos^(2)x+sec^(2)x, then

    Text Solution

    |

  6. "cosec" theta =1/2

    Text Solution

    |

  7. tan(20^@) gt tan(120^(@))

    Text Solution

    |

  8. If 0 lt theta lt (pi)/2 and 5 tan theta = 4 then (5 sin theta - 3 cos ...

    Text Solution

    |

  9. If "cosec" theta + cot theta = (13)/5 then cot^(2) theta - "cosec"^(2)...

    Text Solution

    |

  10. cos(2pi -x) cos (-x) - sin(2pi +x) sin (-x) = 0

    Text Solution

    |

  11. 3sin(pi/9) - 4sin^(3)(pi/9) = .......

    Text Solution

    |

  12. sintheta = (3)/5 , (pi)/2 lt theta lt pi sin2theta = (-12)/25

    Text Solution

    |

  13. If tan theta = sqrt2-1 then tan (2theta)=1 .

    Text Solution

    |

  14. If in two circles, arcs of the same length subtend angles 60^(@)and75^...

    Text Solution

    |

  15. If x + y = (2pi)/3 then equation cosx +cosy = 3/2 has empty solution s...

    Text Solution

    |

  16. If tantheta - tan^(2) theta = 1 , then tan^(4) theta-2tan^3theta-tan^2...

    Text Solution

    |

  17. Number of solution of equation cos^(4)x - 2cos^2x+1=0 in interval [0,2...

    Text Solution

    |

  18. If tantheta=(1)/(2)andtanphi=(1)/(3), then the value of theta+phi is

    Text Solution

    |

  19. f(x) = 3 cos x + 4 sin x + 8 has minimum value 19.

    Text Solution

    |

  20. If in DeltaABC a = 9 , b = 7 and sinA = 3/4 then DeltaABC is right an...

    Text Solution

    |