Similar Triangles and Trigonometric Functions  Use the figure below.(a) Explain why Δ ABC,...

Similar Triangles and Trigonometric Functions  Use the figure below.

(a) Explain why Δ ABC, Δ ADE, and Δ AFG are similar triangles.

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(b) What does similarity imply about the ratios

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(c) Does the value of sin A depend on which triangle from part (a) you use to calculate it? Would using a different right triangle similar to the three given triangles change the value of sin A?

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(d) Do your conclusions from part (c) apply to the other five trigonometric functions? Explain.