5
QuizMultiple Choice

Trigonometric Double Angle Identities — Quiz

Question 5 • Precalculus

What is the value of 2 cosine squared open paren 75 degrees close paren minus 1 ?

Answer
A
1 half
B
negative 1 half
C
the fraction with numerator square root of 3 and denominator 2
D
negative the fraction with numerator square root of 3 and denominator 2

Explanation

Use the identity 2 cos²(x) − 1 = cos(2x). With x = 75°, the expression equals cos(150°) = −√3/2, so the correct choice is negative the fraction with numerator √3 and denominator 2.

AI-written and checked against the verified answer.

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