Discussion
The value of \(2\tan^2 45° + \cos^2 30° - \sin^2 60°\) is:
Answer: B
We substitute the standard trigonometric values:
\(\tan 45° = 1\)
\(\cos 30° = \frac{\sqrt{3}}{2}\)
\(\sin 60° = \frac{\sqrt{3}}{2}\)
The expression is \(2(1)^2 + (\frac{\sqrt{3}}{2})^2 - (\frac{\sqrt{3}}{2})^2 = 2(1) + \frac{3}{4} - \frac{3}{4} = 2\).
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