Home
Class 14
MATHS
If 7 cos^2 theta +3 sin^2 theta =4 and 0...

If `7 cos^2 theta +3 sin^2 theta =4 and 0 lt theta lt pi//2`, what is the value of `tan theta` ?

A

`sqrt(7)`

B

`7/3`

C

3

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos

  • GRAPHICAL SOLUTION OF LINEAR EQUATION

    LUCENT PUBLICATION|Exercise EXERCISE-3B|8 Videos

Similar Questions

Explore conceptually related problems

if 7 cos^(2) theta + 3 sin^2 theta = 4 and 0 lt theta lt (pi)/(2) , then find the value of cot theta

If sin theta + sin 5 theta = sin 3 theta and 0 lt theta lt ((pi)/(2)), what is the value of theta ( in degrees) ?

If tan8 theta = cot 2 theta , where 0 lt 8 theta lt pi/2 , then what is the value of tan 5 theta ?

If 3 sin 2 theta = 2 sin 3 theta and 0 lt theta lt pi , then sin theta =

If 8 cos 2 theta + 8 sec 2theta = 65, 0 lt theta lt (pi)/(2) then the value of 4 cos 4 theta is

if (cos theta)/(1-sin theta)+ (cos theta)/(1 + sin theta) = 4 , 0^@ lt theta lt 90^@ then what is the value of (sec theta + cosec theta + cot theta)?

LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. If sin theta + cos theta = a and sec theta + "cosec" theta = b, then w...

    Text Solution

    |

  2. Among given values of theta which one satisfies the equation (cos thet...

    Text Solution

    |

  3. If 7 cos^2 theta +3 sin^2 theta =4 and 0 lt theta lt pi//2, what is th...

    Text Solution

    |

  4. What is the value of , [(1-sin^(2)theta)sec^(2)theta +tan^(2)theta](co...

    Text Solution

    |

  5. What is the value of sin^(2) 15^(@) + sin^(2) 20^(@) + sin^(2)25^(@) +...

    Text Solution

    |

  6. What is sqrt((1 + sin theta)/(1 -sintheta)) equal to ?

    Text Solution

    |

  7. If theta^(@) lt theta lt 90^(@) and (sin theta)/(cos theta) + (cos the...

    Text Solution

    |

  8. If sin 3 theta = cos (theta - 2 ^(@)) where 3 theta and (theta - 2 ^(@...

    Text Solution

    |

  9. What is ( sin ^(6) theta - cos ^(6) theta )/( sin ^(2) theta - cos ^(2...

    Text Solution

    |

  10. If sin^(4)x + sin^(2) x =1, then the value of cot^(4)x + cot^(2)x is:

    Text Solution

    |

  11. If x cos theta + y sin theta =2 and x cos theta - y sin theta =0, then...

    Text Solution

    |

  12. Expression sin A (1 + tan A) + cos A(1+ cot A) is equal to:

    Text Solution

    |

  13. If 0^(@) lt theta lt 90^(@) and cos^(2) theta - sin^(2) theta = 1/2,th...

    Text Solution

    |

  14. If 3 sin theta + 4 cos theta = 5, then 3 cos theta - 4 sin theta is eq...

    Text Solution

    |

  15. (1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)...

    Text Solution

    |

  16. For 0^(@) lt theta lt 90^(@) which of the following expression is of t...

    Text Solution

    |

  17. If a cos theta - b sin theta =c, then prove that a sin theta + b cos t...

    Text Solution

    |

  18. Expression tan^(2)alpha + cot^(2)alpha is:

    Text Solution

    |

  19. Find maximum value of sin^(8)theta+cos^(14)theta.

    Text Solution

    |

  20. If P = 1/2 sin^(2)theta + 1/3 cos^(2)theta, then

    Text Solution

    |