Home
Class 12
MATHS
If ' theta ' is in the III quadrant the...

If '` theta `' is in the III quadrant then `sqrt(4 sin^(4) theta + sin^(2) 2 theta )+ 4 cos^(2)""((pi)/4-(theta )/(2))=`

A

2

B

`-2`

C

`0`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

4 sin 5 theta cos 3 theta sin 2 theta

If pi ltthetalt(3pi)/2 the expression sqrt(4sin^(4)theta+sin^(2)2theta)+4cos^(2)(pi/4-theta/2) is equal to

2(1-2sin^(2) theta ) cos 4 theta =

If sin theta + cos theta = a " then " sin^(4) theta + cos^(4) theta =

( sin 4 theta - sin 2 theta )/(cos 4 theta + cos 2 theta )=

Solve 7 sin^(2) theta + 3 cos^(2) theta = 4

Assertion (A) : If sqrt(4 sin ^(4) theta + sin ^(2) 2theta)+4 cos^(2) ((pi)/(4)-(theta)/(2))=2 , then theta lies in 3rd quadrant or 4th quadrant . Reason : (R) sqrt(sin^(2) theta) = sin theta

sin^(4) theta + 2 sin^(2) theta (1-(1)/("cosec"^(2) theta ) )+ cos^(4) theta =

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )
  1. (sin^(2)3A)/(sin^(2)A)-(cos^(2) 3A)/(cos^(2)A)=

    Text Solution

    |

  2. If A is in the III quadrant , 3 tan A-4=0 " then " 5 sin 2A + 3 sin A ...

    Text Solution

    |

  3. If ' theta ' is in the III quadrant then sqrt(4 sin^(4) theta + sin^(...

    Text Solution

    |

  4. If 2A+B=(pi)/2 " then " sqrt((1+ sin B)/(1-sinB))=

    Text Solution

    |

  5. If tan x=(b)/(a) " then " sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))=

    Text Solution

    |

  6. If tan(pi//4+ theta ) + tan(pi//4- theta )= k sec 2 theta , then th...

    Text Solution

    |

  7. If x+(1)/x=2 cos theta , " then " x^(3)+(1)/(x^(3))=

    Text Solution

    |

  8. If (sin alpha )/(a) = ( cos alpha )/(b) , then a sin 2alpha + b cos 2...

    Text Solution

    |

  9. If x=sqrt((1- cos theta )/(1+ cos theta )), " then " (2 x)/(1-x^(2))=

    Text Solution

    |

  10. If tan theta = 3//4 , then the value of tan 2 theta + sec 2 theta ...

    Text Solution

    |

  11. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

    Text Solution

    |

  12. If cos x= tan y , coty= tan z , cot z= tan x then sin x=

    Text Solution

    |

  13. If cos x = tan y , cot y= tan z and cot z= tan x, then sin x=

    Text Solution

    |

  14. If "cosec" theta =[(tan^(2) [(alpha - pi)//4]-1)/(tan^(2)[(alpha-pi//4...

    Text Solution

    |

  15. If cos theta =(1)/(2)(a+(1)/(a)), then cos 2 theta =

    Text Solution

    |

  16. If 0 lt theta lt pi//4 , " then " sqrt(2+sqrt(2+2cos 4 theta ))=

    Text Solution

    |

  17. If 0 lt x lt pi , and cos x+ sin x =1//2, then tan x=

    Text Solution

    |

  18. If x cos alpha = y cos ( 2pi//3+ alpha ) = z cos ( 4pi//3+ alpha ) , "...

    Text Solution

    |

  19. If (x)/(tan( theta + alpha ))=(y)/(tan (theta + beta ))=(z)/(tan ( the...

    Text Solution

    |

  20. If (x)/( cos theta ) = (y) /( cos (theta - 2pi//3))=(z)/( cos ( theta ...

    Text Solution

    |