Home
Class 10
MATHS
Evaluate the following: cos e c^3 30o...

Evaluate the following: `cos e c^3 30ocos60otan^3 45osin^2 90osec^2 45ocot30o` (ii) `cot^2 30o-2cos^2 60o-3/4sec^2 45o-4sec^2 30o`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: (tan45o)/(cos ec30o)+(sec60o)/(cot45o)-(5sin90o)/(2cos00)

Evaluate the following expressions: 2sin^2 30otan60o-3cos^2 60osec^2 30o (ii) "c o s e c"^2 30osin^2 45o-sec^2 60o (iii) tan60ocos e c^2 45o+sec^2 60otan45o

Evaluate the following: cos^(2)30o+cos^(2)45o+cos^(2)60o+cos^(2)90o(ii)tan^(2)30o+tan^(2)60o+tan^(2)45o

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

Evaluate the following: (i) cos600cos45o-sin60sin45o( ii) sin^(2)30o+sin^(2)45o+sin^(2)60o+sin^(2)90o

Evaluate the following: (i)(4)/(cot^(2)30o)+(1)/(sin^(2)60o)-cos^(2)45o (ii) 4(sin^(4)30o+cos^(2)60o)-3(cos^(2)45o-sin^(2)900)-sin^(2)600

Evaluate each of the following: (sin^2 45o+cos^2 45o)/(tan^2 60o) (ii) (sin30o-sin90o+2cos0o)/(tan30otan60o)

cot^(2)30^@-2cos^(2)30^@-(3)/(4)sec^(2)45^@+(1)/(4)csc^(2)30^@

Evaluate the following: 4(sin^(4)60o+cos^(4)300)-3(tan^(2)60o-tan^(2)45o)+5cos^(2)450 (ii) (cos ec^(2)45o sec^(2)30o)(sin^(2)30o+4cot^(2)45o-sec^(2)60o)

Evaluate the following: (i) 2sin^(2)30o-3cos^(2)45o+tan^(2)60o( ii) sin^(2)30o cos^(2)45o+4tan^(2)30o+(1)/(2)sin^(2)90o-2cos^(2)90o+(1)/(24)cos^(2)00

RD SHARMA-TRIGONOMETRIC RATIOS-All Questions
  1. Evaluate the following: (i) 2sin^2 30o-3cos^2 45o+tan^2 60o (ii) s...

    Text Solution

    |

  2. Evaluate the following: 4(sin^4 60o+cos^4 30o)-3(tan^2 60o-tan^2 4...

    Text Solution

    |

  3. Evaluate the following: cos e c^3 30ocos60otan^3 45osin^2 90osec^2 ...

    Text Solution

    |

  4. Evaluate the following: (cos0o+sin45o+sin30o)(sin90o-cos45o+cos60o)...

    Text Solution

    |

  5. Evaluate the following: (i) 4/(cot^2 30o)+1/(sin^2 60o)-cos^2 45o ...

    Text Solution

    |

  6. Evaluate the following: (tan^2 60o+4cos^2 45o+3sec^2 30o+5cos^2 90o...

    Text Solution

    |

  7. Evaluate the following: (tan45^@)/(cos e c\ 30^@)+(sec60^@)/(cot45^@...

    Text Solution

    |

  8. Find the value of x in each of the following: (i) 2sin3x=sqrt(3) (...

    Text Solution

    |

  9. Find the value of x in each of the following: tanx=sin45ocos45o+...

    Text Solution

    |

  10. If theta=30^@ , verify that: (i) tan2theta=(2tantheta)/(1-tan^2theta...

    Text Solution

    |

  11. If theta=30^@ , verify that: (i) cos2theta=(1-tan^2theta)/(1+tan^2th...

    Text Solution

    |

  12. If A=B=60^@ , verify that (i) cos(A-B)=cosAcosB+sinAsinB (ii) sin(A...

    Text Solution

    |

  13. If A=30o and B=60o , verify that sin(A+B)=sinAcosB+cosAsinB (ii) c...

    Text Solution

    |

  14. Using the formula of sin(A-B)=sinAcosB-cosAsinB find the value of sin1...

    Text Solution

    |

  15. In a right triangle A B C , right angled at C , if /B=60o and A ...

    Text Solution

    |

  16. If /\A B C is a right triangle such that /C=90^@ , /A=45^@ and B C=7...

    Text Solution

    |

  17. In a rectangle A B C D ,\ \ A B=20 c m ,\ \ /B A C=60o , calculate ...

    Text Solution

    |

  18. If sin(A+B)=1 and cos(A-B)=1,\ \ 0o<A+Blt=90o , AgeqB find A and B .

    Text Solution

    |

  19. If tan(A-B)=1/(sqrt(3)) and tan(A+B)=sqrt(3) , 0^@ < A+B lt= 90^@, A >...

    Text Solution

    |

  20. If sin(A-B) = 1/2 and cos(A+B) = 1/2, 0^@ < A+B < 90^@ and A>B, then f...

    Text Solution

    |