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
Answer (1)
20th Jan, 2024
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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