Home
Class 10
MATHS
Evaluate each of the following in the ...

Evaluate each of the following in the simplest form: `sin60ocos30o+cos60osin30o` (ii) `sin60ocos45o+cos60osin45o`

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: (i) sin45osin30o+cos45ocos30o (ii) sin60ocos30o+cos60osin30o

Find the value of sin60^(@)cos30^(@)+cos60^(@)sin30^(@) .

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

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

Evaluate each of the following: (sin60^o)/(cos^2 45^o)-cot30^o + 15cos90^o\ (ii) (5sin^2 30^o + cos^2 45^o-4tan^2 30^o)/(2sin30^ocos30^o + tan45^o)

Find the value of x in the following : cos2x=cos60cos30 + sin60sin30

Evaluate the following: (i) cos60ocos45o-sin60osin45o (ii) sin^2 30o+sin^2 45o+sin^2 60o+sin^2 90o

Evaluate the following: (cos0o+sin45o+sin30o)(sin90o-cos45o+cos60o) (ii) (sin30o-sin90o+2cos0o)/(tan30otan60o)

Evaluate the following expressions: (i) 2sin^2 30^otan60^o-3cos^2 60^osec^2 30^o (ii) "c o s e c"^2 30^osin^2 45^o-sec^2 60^o (iii) tan60^ocos e c^2 45^o + sec^2 60^otan45^o

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. State whether the following are true or false. Justify your answer. ...

    Text Solution

    |

  2. State whether the following are true or false. Justify your answer. ...

    Text Solution

    |

  3. Evaluate each of the following in the simplest form: sin60ocos30o+co...

    Text Solution

    |

  4. Evaluate the following expressions: (i) 2sin^2 30^otan60^o-3cos^2 60...

    Text Solution

    |

  5. Evaluate the following expressions: (i) 4cot^2 45o-sec^2 60^o + sin^...

    Text Solution

    |

  6. Evaluate each of the following: (sin^2 45^o + cos^2 45^o)/(tan^2 60^...

    Text Solution

    |

  7. Evaluate each of the following: (sin60^o)/(cos^2 45^o)-cot30^o + 15c...

    Text Solution

    |

  8. Show that: 2(cos^2 45°+tan^2 60°)-6(sin^2 45°-tan^2 30°)=6 (ii) 2(...

    Text Solution

    |

  9. Solve each of the following equations when 0^0 < theta<90^0 ...

    Text Solution

    |

  10. Solve each of the following equations when 0 < theta<90 (i) 2sin^2t...

    Text Solution

    |

  11. Find the value of theta in each of the following: (i)2sin2theta=sqrt(3...

    Text Solution

    |

  12. If A=30^@ verify that cos3A=4cos^3A-3cosA

    Text Solution

    |

  13. If x=30^@ , verify that : (i) tan2x=(2tanx)/(1-tan^2x) (ii) sinx=sqr...

    Text Solution

    |

  14. Verify that: sin60o=(2tan30o)/(1+tan^2 30o)=(sqrt(3))/2 (ii) cos60...

    Text Solution

    |

  15. Verify that: (i) cos60^@=cos^2 30^@-sin^2 30^@=1/2

    Text Solution

    |

  16. If theta is an acute angle and sintheta=costheta , find the valu...

    Text Solution

    |

  17. Given that sin(A+B)=sinAcosB+cosAsinB , find the value of sin75^@ .

    Text Solution

    |

  18. In a rectangle A B C D ,\ \ A B=20 c m , /B A C=60^@ . Calculate s...

    Text Solution

    |

  19. Evaluate the following: (i) sin45osin30o+cos45ocos30o (ii) sin60oc...

    Text Solution

    |

  20. Evaluate the following: (i) cos60ocos45o-sin60osin45o (ii) sin^2 3...

    Text Solution

    |