SOLUTION: Suppose a triangle has two sides of lengths 3 cm and 4 cm and an included angle Θ. Express the area of the triangle as a function of Θ. State the domain and range of the function

Algebra ->  Triangles -> SOLUTION: Suppose a triangle has two sides of lengths 3 cm and 4 cm and an included angle Θ. Express the area of the triangle as a function of Θ. State the domain and range of the function      Log On


   



Question 1157543: Suppose a triangle has two sides of lengths 3 cm and 4 cm and an included angle Θ. Express the area of the triangle as a function of Θ. State the domain and range of the function.
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
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The area of the triangle is  area = %281%2F2%29%2Aa%2Ab%2Asin%28theta%29 = %281%2F2%29%2A3%2A4%2Asin%28theta%29.


The domain of the function  sin%28theta%29 is the entire number line,


but specially for THIS application, the angle  theta  is between 0 and 180 degrees  0 < theta < 180 degrees.


The range of this function is from  0 to  %281%2F2%29%2A3%2A4 = 6  (0 < area <= 6).

Solved. // All questions sare answered.