Home
Class 10
MATHS
Evaluate the following: (i) cos e c\ 3...

Evaluate the following: (i) `cos e c\ 31^@-sec59^@` (ii) `(sin72^@+cos18^@)(sin72^@-cos18^@)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@)-(5sin90^@)/(2cos0^@)

Evaluate the following: (i) (sin20^@)/(cos70^@) (ii) (cos19^@)/(sin71^@)

Evaluate the following: sin 78^0cos 18^0-cos 78^0sin 18^0

Evaluate the following: (i) sec50^osin40^o + cos40^o\ cos e c\ 50^o (ii) sec70^osin20^o-cos20^o\ cos e c\ 70^o

Evaluate the following: (i) ((sin49^@)/(cos41^@))^2+((cos41^@)/(sin49^@))^2 (ii) cos48^@-sin42^@

Evaluate the following (i) sin 60^@ cos30^@ + sin 30^@ cos 60^@ (ii) 2tan^2 45^@ + cos^2 30^@ - sin^2 60^@ (iii) (cos45^@)/(sec30^@ + c o s e c 30^@) (iv) (sin30^@ + tan45^@ - c o s e c 60^@ )/(sec30^@ + cos60^@ +cot45^@) (v) (5cos^2 60^@ + 4sec^2 30^@ - tan^2 45^@ )/ (sin^2 30^@ + cos^2 30^@ )

Evaluate : (i) cosec 82^(@)-sec8^(@) (ii) sec 70^(@)sin 20^(@)+cos 20^(@)cosec 70^(@)

Evaluate the following: (i) (cot40^@)/(tan50^@)-1/2((cos35^@)/(sin55^@)) (ii) ((sin27^@)/(cos63^@))^2-((cos63^@)/(sin27^@))^2

Evaluate the following: i) cos120^(@)sin390^(@)+cos330^(@)cos150^(@) ii) sin^(2)(3pi)/(4)+cos^(2)pi/4+sec^(2)pi/3

Evaluate each of the following: (i) sin^(-1)(sin(-600^o)) (ii) \ cos^(-1)(cos(-680^o))

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: (i) (cot40^@)/(tan50^@)-1/2((cos35^@)/(sin55...

    Text Solution

    |

  2. Evaluate the following: (i) (tan35^@)/(cot55^@)+(cot78^@)/(tan12^@)-...

    Text Solution

    |

  3. Evaluate the following: (i) cos e c\ 31^@-sec59^@ (ii) (sin72^@+cos...

    Text Solution

    |

  4. Evaluate the following: (i) sin35osin55o-cos35ocos55o (ii) tan48ot...

    Text Solution

    |

  5. Express each one of the following in terms of trigonometric ratios o...

    Text Solution

    |

  6. Express each one of the following in terms of trigonometric ratios ...

    Text Solution

    |

  7. Express cos75o+cot75o in terms of angles between 0o and 30o .

    Text Solution

    |

  8. If sin3A=cos(A-26^@) , where 3A is an acute angle, find the val...

    Text Solution

    |

  9. If A ,\ B ,\ C are the interior angles of a triangle A B C , prove ...

    Text Solution

    |

  10. Prove that: tan20^@tan35^@tan45^@tan55^@tan70^@=1

    Text Solution

    |

  11. Prove that: sin48^@sec42^@+cos48^@\ cos e c\ 42^@=2

    Text Solution

    |

  12. Prove that: (sin70^@)/(cos20^@)+(cos e c\ 20^@)/(sec70^@)-2cos70^@\ ...

    Text Solution

    |

  13. Prove that: (cos80^@)/(sin10^@)+cos59^@\ cosec\ 31^@=2

    Text Solution

    |

  14. If sintheta=cos(theta-45^@) , where theta and theta-45^@ are acute a...

    Text Solution

    |

  15. If A, B and C are interior angles of a triangle ABC, then show that "s...

    Text Solution

    |

  16. If 2theta+45o and 30o-theta are acute angles, find the degree measu...

    Text Solution

    |

  17. If theta is a positive acute angle such that sectheta=cos e c\ 60o ...

    Text Solution

    |

  18. If cos2theta=sin4theta , where 2theta and 4theta are acute angles, ...

    Text Solution

    |

  19. If sin3theta=cos(theta-6^0), where (3theta)a n d(theta-6^0) are both...

    Text Solution

    |

  20. If s e c4A=cos e c(A-20^@) , where 4A is an acute angle, find the ...

    Text Solution

    |