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Chapter 8: Q. 32 (page 516)
Use the right triangle shown below. Then, using the given information, solve the triangle.
The respective values are
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Find an exact value of each expression, without using a calculator
Find the area of the triangle. Round answer to two decimal places.
Mollweide’s Formula For any triangle, Mollweide’s Formula (named after Karl Mollweide, 1774–1825) states that
Derive it.
[Hint: Use the Law of Sines and then a Sum-to-Product Formula. Notice that this formula involves all six parts of a triangle. As a result, it is sometimes used to check the solution of a triangle.]
If the distance d of an object from its rest
position at time t is given by a sinusoidal graph, the motion of the object is simple harmonic motion.
If three sides of a triangle are given, the Law of _________ is used to solve the triangle.
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