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8. Introduction to Trigonometry
easy
$\sin ^{2} 60-\tan 45+\cos ^{2} 30-\cot 90=\ldots \ldots \ldots \ldots$
A
$\frac{1}{2}$
B
$2$
C
$1$
D
$3$
Solution
$\sin ^{2} 60-\tan 45+\cos ^{2} 30-\cot 90=\left(\frac{\sqrt{3}}{2}\right)^{2}-1+\left(\frac{\sqrt{3}}{2}\right)^{2}-0$
$=\frac{3}{4}-1+\frac{3}{4}-0=\frac{3}{2}-1=\frac{1}{2}$
Standard 10
Mathematics