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Learning Goal

‹10 of 10 in this skill_area

Double-angle and sum/difference formulas (basic awareness)

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

F 706. Use trigonometric concepts and basic identities to solve problems F 704. Exhibit knowledge of unit circle trigonometry

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F 706. Use trigonometric concepts and basic identities to solve problems
F 704. Exhibit knowledge of unit circle trigonometry

What you'll learn

  1. Recognize when a double-angle or sum/difference formula applies, including inside a larger problem, and substitute into it to evaluate an expression
  2. Show with a numerical counterexample that $\sin(2x) \neq 2\sin(x)$ and $\sin(A+B) \neq \sin A + \sin B$
  3. State the double-angle formulas for sine, cosine and tangent, and the sum and difference formulas for sine and cosine with the sign behaviour that distinguishes them
  4. Evaluate an exact trig value at a non-landmark angle such as $75°$ by writing it as a sum or difference of two landmark angles

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