Home
Class 11
MATHS
If alpha is any real number, then : (sin...

If `alpha` is any real number, then : `(sinalpha+cosecalpha)^2+(cosalpha+secalpha)^2-(tan^2alpha+cot^2alpha)=....`

A

3

B

`-5`

C

7

D

`2sin^2alpha+3cos^2alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE

    MARVEL PUBLICATION|Exercise MCQs|101 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|175 Videos

Similar Questions

Explore conceptually related problems

(sin alpha+cos ec alpha)^(2)+(cos alpha+sec alpha)^(2)=tan^(2)alpha+cot^(2)alpha+7

If (sinalpha+"cosec"alpha)^(2)+(cosalpha+secalpha)^(2)=k+tan^(2)alpha+cot^(2)alpha then the value of k is

(sinalpha + cosalpha)(tanalpha + cotalpha) = secalpha + cosecalpha

If a is any real number then :(sin^(4)alpha+sin^(2)alpha*cos^(2)alpha+cos^(2)alpha)/(sin^(2)alpha+sin^(2)alpha*cos^(2)alpha+sin^(2)alpha)=

(1-cos alpha)/(sinalpha)=tan(alpha/2)

(sinalpha+secalpha)^(2)+(cosalpha+cosecalpha)^(2)=(K+secalphacosecalpha)^(2) , then K = ?

(x tan alpha+y cot alpha)(x cot alpha+y tan alpha)-4xy cos^(2)2 alpha=

tanalpha+2tan2alpha+4tan4alpha+8cot8alpha=?

Prove that (sinalpha+cosalpha)(tanalpha+cotalpha)=secalpha+"cosec"alpha

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs
  1. If A,B,C are the angles of a triangle such that tan A=1 and tan B=2, t...

    Text Solution

    |

  2. If alpha is any real nubmer then: (sin^4alpha+sin^2alpha.cos^2alpha+co...

    Text Solution

    |

  3. If alpha is any real number, then : (sinalpha+cosecalpha)^2+(cosalpha+...

    Text Solution

    |

  4. If Pn=cos^ntheta+sin^ntheta, show that : 2P6-3P4+1=0.

    Text Solution

    |

  5. Evaluate : sin163^@.cos347^@+sin73^@.sin167^@.

    Text Solution

    |

  6. cos^4(pi/8)+cos^4((3pi)/8)+cos^4((5pi)/8)+cos^4((7pi)/8)=

    Text Solution

    |

  7. 1/cos290^@+1/(sqrt3 sin250^@)=

    Text Solution

    |

  8. If tan(pi.costheta)=cot(pi.sintheta), then: cos((pi)/(4)-theta)=..... ...

    Text Solution

    |

  9. (sin^2A-sin^2B)/(sinA.cosA-sinB.cosB)=....

    Text Solution

    |

  10. If x^0=((13pi)/(6))^c, then: x=(a) 300^@ (b) 930^@ (c) 309^@ (d) 390^@

    Text Solution

    |

  11. If y^c=27^@, then: y= (a) ((20pi)/3)^c (b) ((20pi)/3) (c) ((3pi)/20) (...

    Text Solution

    |

  12. The value of cot5^(@)*cot15^(@)* cot 25^(@)* cot 35^(@)* cot45^(@) * c...

    Text Solution

    |

  13. Find the value of sin^(2)5^(@)+sin^(2)10^(@)+sin^(2)15^(@)+..............

    Text Solution

    |

  14. If tanalpha=(1)/(3)andtanbeta=(1)/(2), then: tan(alpha+beta)=

    Text Solution

    |

  15. If cos e ctheta+cottheta=(11)/2 , then t a ntheta=

    Text Solution

    |

  16. If tantheta=(-1)/(sqrt5)andtheta lies in the fourth quadrant, then: co...

    Text Solution

    |

  17. If sinx+sin^2x=1. then evaluate cos^8x+2cos^6x+cos^4x

    Text Solution

    |

  18. The value of cos 1^@ cos 2^@ cos 3^@... cos 179^@ is

    Text Solution

    |

  19. If tanA=1/2andtanB=1/3, then: A+B= (a) pi/4 (b) 0 (c) pi (d) pi/6

    Text Solution

    |

  20. The sintheta+cosectheta=2, then: sin^2theta+cosec^2theta=

    Text Solution

    |