Discussion
If \(x \tan 45° \cos 60° = \sin 60° \cot 60°\), then x is equal to:
Answer: A
We substitute the standard trigonometric values:
\(\tan 45° = 1\)
\(\cos 60° = 1/2\)
\(\sin 60° = \sqrt{3}/2\)
\(\cot 60° = 1/\sqrt{3}\)
The equation becomes: \(x \cdot 1 \cdot (1/2) = (\sqrt{3}/2) \cdot (1/\sqrt{3})\).
\(x/2 = 1/2 \Rightarrow x = 1\).
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