Home
Class 11
MATHS
Show that sin 150^(@) + cos 105^(@) ...

Show that sin `150^(@) + cos 105^(@) =(1)/(sqrt(5))`

A

`1/2`

B

1

C

`sqrt2`

D

`(1)/(sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|101 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES

    TARGET PUBLICATION|Exercise EVALUATION TEST|12 Videos

  • STRAIGHT LINE

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|10 Videos

Similar Questions

Explore conceptually related problems

sin 15^(@) + cos 105 ^(@) =

Prove that : (i) "sin"105^(@)+cos105^(@)=(1)/(sqrt(2)) (ii) cos105^(@)+cos15^(@)="sin"75^(@)-"sin"15^(@)

sin105^(@)+cos105^(@)=

sin15^(@)+cos105^(@)=?

Prove that (i) "cos " 15^(@) - " sin " 15^(@) = (1)/(sqrt(2)) (ii) " cot " 105^(@) - " tan " 105^(@) =2sqrt(3) (iii) (tan 69^(@) + tan 66^(@))/(1-tan 69^(@) tan 66^(@)) =-1

Show that: s in50^(0)cos85^(@)=(1-sqrt(2)sin35^(@))/(2sqrt(2))

What is sin 105^@ + cos105^@ equal to:

Show that : sin 30^(@)=sqrt((1-cos60^(@))/(2))

Show that: s in50^(0)cos95^(0)=(1-sqrt(2)sin35^(@))/(2sqrt(2))

Show that sin70^(0)cos10^(0)-cos70^(0)sin10^(0)=(sqrt(3))/(2)

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES -CRITICAL THINKING
  1. If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gam...

    Text Solution

    |

  2. (1)/(tan 3 A - tan A)- (1)/(cot 3 A - cot A)=

    Text Solution

    |

  3. Show that sin 150^(@) + cos 105^(@) =(1)/(sqrt(5))

    Text Solution

    |

  4. The vlaue of tan 81^(@) - tan 63^(@) - tan 27^(@)+ tan 9^(@) is equ...

    Text Solution

    |

  5. If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals 2(tanbet...

    Text Solution

    |

  6. tan ((pi)/(4)+theta) tan ((3pi)/( 4) + theta) is equal to

    Text Solution

    |

  7. tan(100^(@))+tan(125^(@))+tan(100^(@))tan(125^(@))=

    Text Solution

    |

  8. If A+B=225^@ Find cotA/(1+cotA)*cotB(1+cotB)

    Text Solution

    |

  9. The value of (sin(-660^@)tan(1050^@)sec(420^@))/(cos(225^@)cosec(315^@...

    Text Solution

    |

  10. cos ^(2) ((pi)/(4)beta)- sin ^(2) (alpha - (pi)/(4))=

    Text Solution

    |

  11. THe value of cos^2(pi/12)+cos^2(pi/4)+cos^2((5pi)/12) is

    Text Solution

    |

  12. tanalpha=1/7,tanbeta=1/3,t h e ncos2alpha=

    Text Solution

    |

  13. If costheta=1/2(x+1/x) then 1/2(x^2+1/x^2)=

    Text Solution

    |

  14. If sin x+ cos x =1/5 and 0 le x le pi, then tan x is equal to

    Text Solution

    |

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

    Text Solution

    |

  16. If : tan((pi)/(4)+theta) - tan((pi)/(4) - theta) =m*tan (ntheta),"then...

    Text Solution

    |

  17. If sec 2 theta =p + tan 2 theta, then the value of sin^(2) theta in ...

    Text Solution

    |

  18. If theta and phi are angles in first quadrant and tantheta=1/7 and sin...

    Text Solution

    |

  19. If cos(theta-alpha) = a and cos(theta-beta) = b then the value of sin^...

    Text Solution

    |

  20. If tan^2theta=2tan^2varphi+1,t h e ncos2theta+sin^2varphi equals -1 (...

    Text Solution

    |