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  • Evaluate the following : 2 tan ^2 45 ^o + 2 cos ^2 30 ^o - 2 sin ^2 60^o

1.     Evaluate the following :

     (ii)\: 2\tan ^{2}45^{o}+ 2\cos ^{2}30^{o}- 2\sin ^{2}60^{o}

Answers (1)

best_answer

We know the value of

 \tan 45^0 = 1 and

 \cos 30^0 = \sin 60^0 = \frac{\sqrt{3}}{2}
According to question,

=2\tan ^{2}45^{o}+ 2\cos ^{2}30^{o}- 2\sin ^{2}60^{o}
\\=2(1)^2+ (\frac{\sqrt{3}}{2})^2-(\frac{\sqrt{3}}{2})\\=2
 

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manish

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