Home
Class 9
MATHS
ABC is an isosceles right-angled triangl...

ABC is an isosceles right-angled triangle. Assuming AB = BC = x, find the value of each of the following trigonometric ratios :

(i) `sin45^(@)`
(ii) `cos45^(@)`
(iii) `tan45^(@)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `1/sqrt(2)" (ii) "1/sqrt(2)" (iii) "1`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(B)|34 Videos

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(C)|118 Videos

  • TRIGONOMETRICAL RATIOS OF STANDARD ANGLES

    ICSE|Exercise EXERCISE 23(C)|118 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

Find the complement of each of the following angles: (i) 45^0 (ii) 85^0

Find the value of the following log_(cot30^@)tan45^@

Construct the following angles : (i) 90^(@) (ii) 45^(@) (iii) 75^(@)

Construct the following angles : (i) 45^(@) (ii) 135^(@)

ABC is a triangle right angled at C. If AB=25cm and AC=7cm, find BC.

Delta PQR is right angled isosceles triangle, right angled at R. Find value of sin P.

Delta ABC is right-angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.

Express each of the following in terms of trigonometric ratios of angles between 0 and 45 : (i) sin81 + tan81 (ii) sin72 + cot72

In an isosceles triangle ABC. AB = BC = 10 cm and BC = 18 cm . Find the value of : sin ^(2) B + cos ^(2) C

In an isosceles triangle ABC. AB = BC = 10 cm and BC = 18 cm . Find the value of : tan ^(2) C - sec ^(2)B +2

ICSE-TRIGONOMETRICAL RATIOS OF STANDARD ANGLES-EXERCISE 23(A)
  1. Prove that : 3cosec^(2)60^(@)-2cot^(2)30^(@)+sec^(2)45^(@)=0.

    Text Solution

    |

  2. Prove that : sin(2 times 30^(@))=(2tan30^(@))/(1+tan^(2)30^(@))

    Text Solution

    |

  3. Prove that : cos(2 times 30^(@))=(1-tan^(2)30^(@))/(1+tan^(2)30^(@))

    Text Solution

    |

  4. Prove that : tan(2 times 30^(@))=(2tan30^(@))/(1-tan^(2)30^(@))

    Text Solution

    |

  5. ABC is an isosceles right-angled triangle. Assuming AB = BC = x, find ...

    Text Solution

    |

  6. Prove that : sin60^(@)=2sin30^(@)cos30^(@).

    Text Solution

    |

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

    Text Solution

    |

  8. If sinx =cosx and x is acute, state the value of x.

    Text Solution

    |

  9. If secA=cosecA" and "0^(@) le A le 90^(@), state the value of A.

    Text Solution

    |

  10. If tantheta=cottheta" and "0^(@) le theta le 90^(@), state the value o...

    Text Solution

    |

  11. If sinx=cosy, write the relation between x and y, if both the angles x...

    Text Solution

    |

  12. If sinx=cosy, then x+y=45^(@), write true or false.

    Text Solution

    |

  13. sectheta.cottheta=cosectheta, write true or false.

    Text Solution

    |

  14. For any angle theta, state the value of : " "sin^(2)theta+cos...

    Text Solution

    |

  15. State for any acute angle theta whether : sintheta increases or decr...

    Text Solution

    |

  16. State for any acute angle theta whether : costheta increases or decr...

    Text Solution

    |

  17. State for any acute angle theta whether : tantheta increases or decr...

    Text Solution

    |

  18. If sqrt(3)=1*732, find (correct to two decimal places) the value of ea...

    Text Solution

    |

  19. Evaluate : (cos3A-3cos4A)/(sin3A+2sin4A)," when "A=15^(@).

    Text Solution

    |

  20. Evaluate : (3sin3B+2cos(2B+5^(@)))/(2cos3B-sin(2B-10^(@))), when B...

    Text Solution

    |