What is the value of sine inverse of cosine of open paren 2 pi over 3 close paren ?
Answer
A
the fraction with numerator negative 2 pi and denominator 3
B
negative pi over 6
C
pi over 6
D
2 pi over 3
Explanation
First, cos(2π/3) = -1/2. The inverse sine returns an angle in the interval [-π/2, π/2], and sin(-π/6) = -1/2. Therefore, sin⁻¹(cos(2π/3)) = -π/6, choice C.
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