Evaluate 2tan² 45 + cos² 30 – sin² 60.
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Solution:
Since we know,
tan 45 = 1
cos 30 = 3/2
sin 60 = 3/2
Therefore, putting these values in the given equation:
2(1)² + (√3/2)² – (√3/2)²
2+0
= 2
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