Home
Class 14
MATHS
What is the value of , [(1-sin^(2)theta)...

What is the value of , `[(1-sin^(2)theta)sec^(2)theta +tan^(2)theta](cos^(2)theta +1)`, where `0 lt theta lt 90^(@)` ?

A

2

B

`gt 2`

C

`ge 2`

D

`lt 2`

Text Solution

Verified by Experts

The correct Answer is:
B
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

What is the value of [1-tan(90-theta)+sec(90-theta)]//[tan(90-theta)+sec(90-theta)+1] ?

For what value of theta , is (tan theta + cosec theta) = 2.5 where 0 lt theta le 90^(@) ?

What is the value of ([tan(90-theta)+sec(90-theta)-1])/([tan(90-theta)-sec(90-theta)+1]) ?

If (cos ^(2) theta - 1) ( 2 sec ^(2) theta) + sec ^(2) theta + 2 tan ^(2) theta = 2 , 0 ^(@) lt theta lt theta lt 90^(@) , then (( "cosec" theta + cos theta))/(( "cosec theta - cos theta)) is equal to :

If l cos^2 theta + m sin^2 theta =(cos^2 theta (cosec^2theta +1))/(cosec^2 theta -1), 0^@ lt theta lt 90^@ , then tan theta is equal to

If sintheta = sqrt3 costheta, 0^circ lt theta lt 90^circ , then the value of 2sin^(2)theta + sec^(2)theta + sin theta sec theta + cosec theta is: यदि sintheta = sqrt3 costheta, 0^circ lt theta lt 90^circ , , तो 2sin^(2)theta + sec^(2)theta + sin theta sec theta + cosec theta का मान है:

If (cos^(2) theta)/(cot^(2) theta - cos^(2) theta) = 3 and 0^(@) lt theta lt 90^(@) , then the value of theta is

If : cos 6 theta + cos 4 theta + cos 2 theta + 1 = 0 , where, 0 lt theta lt 180^(@) , then : theta =

If (1/(1+cosec theta ) - 1/(1-cosec theta ))cos theta= 2 , 0^circ lt theta lt 90^circ , then the value of sin^(2) theta + cot^(2) theta + sec^(2) theta is: यदि (1/(1+cosec theta ) - 1/(1-cosec theta ))cos theta= 2 , 0^circ lt theta lt 90^circ , है,तो sin^(2) theta + cot^(2) theta + sec^(2) theta का मान हैः

What is the value of theta, 0^(@) lt theta lt 90^(@), " if " cos theta + sin theta = sqrt(2) ?

LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A
  1. Among given values of theta which one satisfies the equation (cos thet...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. (1-sinAcosA)/(cosA(secA-cosecA)).(sin^(2)A-cos^(2)A)/(sin^(3)A+cos^(3)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Minimum value of 5costheta + 12 is:

    Text Solution

    |