Home
Class 12
MATHS
Express 45^0 20 ' 10 ' ' in radian measu...

Express `45^0 20 ' 10 ' '` in radian measure `(pi=3. 1415)`

Text Solution

Verified by Experts

`10''=10/60 min=(10/60xx60)^(@)=(1/360)^(@)`
`20'=(20/60)^(@)=(1/3)^(@)`
`:. 45^(@)20'10''=(45+1/360+1/3)^(@)`
`=((16200+1+120)/360)^(@)=(16321/360)^(@)`
Now `(16321/360)^(@)=16321/360xxpi/180rad`
`=16321/360xx3.1416/180=51274.054/64800`
`=0.79 rad`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise example|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise Concept Application Exercises 2.1|8 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE PUBLICATION|Exercise Archives (Numerical value type)|4 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|2 Videos

Similar Questions

Explore conceptually related problems

Express 25^@ as radian measurement.

The circular measures of two of the angles of a triangle are 1/2 and 1/3 . Express the third angle in sexagesimal measure.

One angle of a triangle is 60^(@) and the second is (pi)/(4) radian. Express the third angle in centesimal measure.

One angle of a triangle is 60^(@) and the second is (pi)/(4) radian. Express the third angle in centesimal measure.

The degree measure of radian measure of angle (-3)^c is

The measurement of angel A of the triangle ABC is 45^(@) there is an error of 1' in the measurement of the angle. Find the percentage error in the computation of the area of the triangle. [Given : 1' = 0.00291 radian].

Statement -I : The radian measurement of the angle of a regular octagon in radian is ((3pi)/4)^c Statement -II: Angle of an n sided regular polygon= ((2n-4))/n xx90^@ .

Express in circular measure an angle of a regular polygon of sides 10. " " [U.U.-1950]

Express sin 81^(@) +tan 81^(@) in terms of trigonometric ratio of angles between 0^(@) and 45^(@)

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
  1. Express 45^0 20 ' 10 ' ' in radian measure (pi=3. 1415)

    Text Solution

    |

  2. The circular wire of diameter 10 cm is cut and placed along the circum...

    Text Solution

    |

  3. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  4. If theta in (pi//4, pi//2) and sum(n=1)^(oo)(1)/(tan^(n)theta)=sin the...

    Text Solution

    |

  5. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  6. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  7. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  8. If (sin^(2)x-2cos^(2)x+1)/(sin^(2)x+2cos^(2)x-1)=4, then the value of ...

    Text Solution

    |

  9. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  10. If tantheta-cottheta=aandsintheta+costheta=b, then, (b^2-1)^2(a^2+4...

    Text Solution

    |

  11. The least value of 18 sin^(2)theta+2 cosec^(2)theta-3 is (a) -15 (b) ...

    Text Solution

    |

  12. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  13. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  14. Find the cartesian co-ordinates of the points whose polar co-ordinates...

    Text Solution

    |

  15. Simplify :cos(x-(pi)/(2)).tan((3pi)/(2)+x)

    Text Solution

    |

  16. Consider angles alpha = (2n+(1)/(2))pi pm A and beta = m pi +(-1)^(m)(...

    Text Solution

    |

  17. Which of the following is true ?

    Text Solution

    |

  18. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

    Text Solution

    |

  19. Which of the following is greatest ?

    Text Solution

    |

  20. The number of value/values of x for which sin y=x^(2)-2x si possible i...

    Text Solution

    |

  21. Which of the following is not correct ?

    Text Solution

    |