SOLUTION: The sine function is defined in terms of a right triangle as sin=opposite/hypotenuse . Suppose that a fixed angle θ occurs in two triangles, if the length of the hypotenuse in

Algebra ->  Trigonometry-basics -> SOLUTION: The sine function is defined in terms of a right triangle as sin=opposite/hypotenuse . Suppose that a fixed angle θ occurs in two triangles, if the length of the hypotenuse in      Log On


   



Question 830792: The sine function is defined in terms of a right triangle as sin=opposite/hypotenuse . Suppose that a fixed angle θ occurs in two triangles, if the length of the hypotenuse in the first triangle has twice the length of the hypotenuse in the second triangle, what can be said about the sides opposite in each triangle. How does the value sin θ compare in each triangle. Explain
thank you :D

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sine function is defined in terms of a right triangle as sin=opposite/hypotenuse .
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Suppose that a fixed angle θ occurs in two triangles, if the length of the hypotenuse in the first triangle has twice the length of the hypotenuse in the second triangle, what can be said about the sides opposite in each triangle.
Since sin = opp/h, opp and h are directly related.
If h is doubled, opp will be doubled.
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How does the value sin θ compare in each triangle. Explain
Since sin = opp/h, sin and h are indirectly related. If the
"h" is doubled, the sin is halved.
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Cheers,
Stan H.