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
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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) (Show Source):
The area of the triangle is area = = .
The domain of the function is the entire number line,
but specially for THIS application, the angle is between 0 and 180 degrees 0 < < 180 degrees.
The range of this function is from 0 to = 6 (0 < area <= 6).