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Exercises — Outcome 5: Trigonometric Identities and Equations

1 hands-on tasks. Do them in order; each one feeds the Canvas item it names.

35 min · written

1. Identity Verification and Solving

  1. Verify: (sin²θ + cos²θ)/cosθ = secθ. Work one side only.
  2. Simplify: cos(2θ) + 2sin²θ using a double angle identity.
  3. Solve for θ ∈ [0, 2π): 2sin(θ) − 1 = 0. List all solutions.
Turn in / bring: Fully shown algebraic work submitted to Canvas.
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