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Question about Trigonometry: Product-to-Sum Transformation

Subject Mathematics

Mathematics

Source Originais Teachy

Originais Teachy

Topic Trigonometry: Product-to-Sum Transformation

Trigonometry: Product-to-Sum Transformation

Difficulty Medium

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

In a Mathematics class, the teacher presents the Prostaférese Formulas as an important tool to simplify calculations involving products of sines and cosines. Based on the formulas, determine the equivalent expression to sin(30°) * cos(60°) in terms of sines and/or cosines of double angles and any relevant constants.

1/4 * sin(90°)

1/2 * sin(120°)

1/2 * cos(90°)

1/2 * sin(30°) * cos(60°)

1/4 * cos(30°)

Answer sheet:

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