Home
Class 9
MATHS
Evaluate : (i) sin^(2)30^(@)-2cos^(3)6...

Evaluate :
(i) `sin^(2)30^(@)-2cos^(3)60^(@)+3tan^(4)45^(@)`
(ii) `(cos0^(@)+sin45^(@)+sin30^(@))(sin90^(@)-cos45^(@)+cos60^(@))`

Text Solution

Verified by Experts

The correct Answer is:
(i) 3
(ii) `1""3/4`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(A)|68 Videos

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(B)|34 Videos

  • TRIGONOMETRICAL RATIOS

    ICSE|Exercise EXERCISE 22(B)|50 Videos

  • TRIGONOMETRY

    ICSE|Exercise TOPIC -4 ( COMPLEMENTARY ANGLES ) (4 MARKS QUESTIONS )|4 Videos

Similar Questions

Explore conceptually related problems

Evaluate : (tan45^(@))/(2sin30^(@)-cos60^(@))

Find the value of : sin^(2)30^(@)+cos^(2)30^(@)+cot^(2)45^(@)

Find the value of : sin^(2)30^(@)+cos^(2)30^(@)+cot^(2)45^(@)

Evaluate cos45^(@)cos30^(@)+sin45^(@)sin30^(@) .

Evaluate sin(30^(@)+theta)-cos(60^(@)-theta) .

Evaluate : 14 sin 30^(@)+6cos 60^(@)-5tan 45^(@)

Evaluate : 14 sin 30^(@)+6cos 60^(@)-5tan 45^(@)

Evaluate : sin ^(2)60^(@)tan 45^(@)- cos^(2)45^(@)sec 60^(@)

Evaluate: cos^(2)25^(@)-sin^(2)65^(@)-tan^(2)45^(@)

Prove that : 4(sin^(4)30^(@)+cos^(4)60^(@))-3(cos^(2)45^(@)-sin^(2)90^(@))=2

ICSE-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES-EXERCISE 23(C)
  1. Evaluate : (i) sin^(2)30^(@)-2cos^(3)60^(@)+3tan^(4)45^(@) (ii) (c...

    Text Solution

    |

  2. Solve the following equations for A, if : 2sinA=1

    Text Solution

    |

  3. Solve the following equations for A, if : 2cos2A=1

    Text Solution

    |

  4. Solve the following equations for A, if : sin3A=sqrt(3)/2

    Text Solution

    |

  5. Solve the following equations for A, if : sec2A=2

    Text Solution

    |

  6. Solve the following equations for A, if : sqrt(3)tanA=1

    Text Solution

    |

  7. Solve the following equations for A, if : tan3A=1

    Text Solution

    |

  8. Solve the following equations for A, if : 2sin3A=1

    Text Solution

    |

  9. Solve the following equations for A, if : sqrt(3)cot2A=1

    Text Solution

    |

  10. Calculate the value of A, if : (sinA-1)(2cosA-1)=0

    Text Solution

    |

  11. Calculate the value of A, if : (tanA-1)(cosec3A-1)=0

    Text Solution

    |

  12. Calculate the value of A, if : (sec2A-1)(cosec3A-1)=0

    Text Solution

    |

  13. Calculate the value of A, if : cos3A.(2sin2A-1)=0

    Text Solution

    |

  14. Calculate the value of A, if : (cosec2A-2)(cot3A-1)=0

    Text Solution

    |

  15. If 2sinx^(@)-1=0 and x^(@) is an acute angle, find: (i) bsinx^(@)" ...

    Text Solution

    |

  16. If 4cos^(2)x^(@)-1=0 and 0 le x^(@) le 90^(@), find : x^(@)

    Text Solution

    |

  17. If 4cos^(2)x^(@)-1=0 and 0 le x^(@) le 90^(@), find : sin^(2)x^(@)+c...

    Text Solution

    |

  18. If 4cos^(2)x^(@)-1=0 and 0 le x^(@) le 90^(@), find : 1/(cos^(2)x^(@...

    Text Solution

    |

  19. If 4sin^(2)theta-1=0 and angle theta is less than 90^(@), find the val...

    Text Solution

    |

  20. If sin3A=1 and 0 le A le 90^(@), find : sin A

    Text Solution

    |

  21. If sin3A=1 and 0 le A le 90^(@), find : cos 2A

    Text Solution

    |