If θ = 30°, prove that cos 2θ = cos^2 2θ – sin^2 2θ
Added by Jacob R.
Step 1
First, we need to know the values of cos 30°, sin 30°, cos 60°, and sin 60°: cos 30° = √3/2 sin 30° = 1/2 cos 60° = 1/2 sin 60° = √3/2 Now, let's use the double angle formula for cosine: cos 2θ = cos²θ - sin²θ Substituting θ = 30°, we get: cos 60° = (cos 30°)² Show more…
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