Home
Class 11
MATHS
Evaluate the following: cos 80^0cos 20^0...

Evaluate the following: `cos 80^0cos 20^0+ sin 80^0 sin 20^0`

Text Solution

Verified by Experts

Given,L.H.S= `cos 80^ocos 20^o+ sin 80^o sin 20^o`
=`cos(80^o-20^o)`
=`cos(60^o)`
=`1/2`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA|Exercise Solved Examples And Exercises|167 Videos
  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|193 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: cos47^(0)cos13^(0)-sin47^(0)sin13^(@)

(2cos 40^0-cos 20^0)/(sin 20^0)=

Evaluate the following: sin39^0-cos51^0 (ii) cos e c25^0-sec65^0 cot34^0-tan56^0 (iv) (sin36^0)/(cos54^0)-(sin54^0)/(cos36^0) cos^2 13^0-sin^2 77^0

Evaluate the following: sin36^(@)cos9^(0)+cos36^(@)sin9^(0)

cos25^(0)cos35^(0)-sin10^(0)sin20^(0) ,

Find the values of the following: sin75^0 (ii) cos75^0 (iii) sin15^0 (iv) cos15^0

What is the value of (cos 40^@ -cos 140^@)//(sin 80^@ + sin 20^@) ?

Evaluate the equation ;- cos 90^(@) sin 0^(@) - sin 0^(@) cos 90^(@) .

sin20sin40sin80

RD SHARMA-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-Solved Examples And Exercises
  1. Evaluate the following: sin 36^0cos9^0+cos36^0 sin9^0

    Text Solution

    |

  2. Evaluate the following: cos 47^0cos 13^0-sin 47^0 sin 13^0

    Text Solution

    |

  3. Evaluate the following: cos 80^0cos 20^0+ sin 80^0 sin 20^0

    Text Solution

    |

  4. If cos A=-12/13 and cotB=24/7 where A lies in second quadrant and B li...

    Text Solution

    |

  5. Prove that: cos 105^@+cos15^@=sin 75^@-sin 15^@

    Text Solution

    |

  6. (tanA+tanB)/(tanA-tanB)=sin(A+B)/(sin(A-B)

    Text Solution

    |

  7. Prove that: (cos 11^@+"sin"11^@)/(cos 11^@-"sin"11^@)=tan 56^@

    Text Solution

    |

  8. Prove that: (cos8^@-"sin"8^@)/(cos8^@+"sin"8^@)=t a n 37^@

    Text Solution

    |

  9. (cos9^@+sin9^@)/(cos9^@-sin9^@)= (a) tan 54^@ (b) tan 36^@ (d) None of...

    Text Solution

    |

  10. Prove that: sin(60^0-theta)-cos(30^0+theta)=0.

    Text Solution

    |

  11. Prove that: sin((4pi)/9+7)cos(pi/9+7)-cos((4pi)/9+7)sin("pi/9+7)=(sqrt...

    Text Solution

    |

  12. Prove that: sin((3"pi")/8-5)cos("pi"/8+5)+cos((3"pi")/8-5)sin("pi"/8+7...

    Text Solution

    |

  13. Prove that :(tan69^@+tan 66^@)/(1-tan 69^@tan66^@)=-1

    Text Solution

    |

  14. If tanA=5/6 and tanB=1/(11),\ p rov e\ t h a t\ A+B=pi/4

    Text Solution

    |

  15. If tanA=m/(m-1)\ and tanB=1/(2m-1), then prove that A-B=\ pi/4

    Text Solution

    |

  16. Prove that: cos^2 45^@-sin^2 15^@=(sqrt(3))/4

    Text Solution

    |

  17. Prove that: sin^2(n+1)A-sin^2n A="sin"(2n+1)A s in A

    Text Solution

    |

  18. Prove that: (sin(A+B)+sin(A-B))/(cos(A+B)+cos(A-B))=t a n A

    Text Solution

    |

  19. Prove that: (sin(A-B))/(cos A cosB)+(sin(B-C))/(cos B cos C)+(sin(C-A)...

    Text Solution

    |

  20. Prove that: ("sin"(A-B))/(s in A s in B)+("sin"(B-C))/(s in B s in C)+...

    Text Solution

    |