Santiago Medina
08/20/2023 · Junior High School
Verify the identity \( 1+\cos 2 x+2 \sin ^{2} x=2 \) Indicate the question number and show your work on paper to upload immediately the exam.
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Using the double angle identity for cosine, we substitute \( \cos 2x = 1 - 2\sin^2 x \) into the equation. Simplifying, we find that \( 1 + \cos 2x + 2\sin^2 x = 2 \), verifying the identity.
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