Question : The value of $2\tan^2 45° + \cos^2 30° - \sin^2 60°$ is:
Option 1: 2
Option 2: 1
Option 3: –1
Option 4: –2
Correct Answer: 2
Solution : Given: $2\tan^2 45^\circ + \cos^2 30^\circ - \sin^2 60^\circ$ Putting the values, we get: $= 2\times1^2 + (\frac{\sqrt3}{2})^2- (\frac{\sqrt3}{2})^2$ $= 2+ \frac{3}{4}- \frac{3}{4}$ $= 2$ Hence, the correct answer is 2.
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