Question 1 • Precalculus
Use the double-angle identities: cos²θ − sin²θ = 1 − 2sin²θ = 2cos²θ − 1 = cos(2θ). With θ = 105°, these expressions are 1 − 2sin²(105°), 2cos²(105°) − 1, and cos(210°), so choices A, B, and E are equivalent. Choice C equals sin(210°), not cos(210°).
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