What are all values of $$\(x, 0 \leq x< 2 \pi\)$$, that satisfy $$\(\log _{2} 2+\log _{2} \sin x+\log _{2} \cos x=-1\)$$ ?

A.
\(\pi / 12,7 \pi / 12\)
B.
\(\pi / 6,5 \pi / 6\)
C.
\(\pi / 12,5 \pi / 12\)
D.
\(\pi / 6, \pi / 3\)
Mathematics
Competition
Math League
Exam No:2016 First Round Grades 10-12 Year:2016 Question No:30

Answer:

C

Knowledge points:

G10-12 - Algebra - Trigonometric Identities & Equations

Solution:

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