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SMO Open · 5. Trigonometry

Evaluate exact trigonometric values by pairing complements and collapsing double angles, use addition formulas with the right signs, and solve triangles with the sine rule, the cosine rule and altitudes.

SMO Open – Selected topics

Simplify products and sums of trigonometric values using complementary angles and double-angle chains.

Use sum-to-product and product-to-sum formulas, explained by the unit circle.

Apply the addition formulas with signs chosen from the quadrant of each angle.

Solve triangle problems with the sine rule, the cosine rule, the area formula and altitudes.

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