Question

find the value of sin² 45 + cos² 30 - tan² 60​

Answer 1

Answer:

$\frac{ - 7}{4 }$

Answer 2

Answer:

$\frac{-7}{4}$

Step-by-step explanation:

We know that

       $sin45=\frac{1}{\sqrt{2}}$ , $cos30=\frac{\sqrt{3}}{2}$, $tan 60=\sqrt{3}$

Using the above values,

$sin^245+cos^230-tan^260\\\\=(\frac{1}{\sqrt2})^{ ^2}+(\frac{\sqrt{3}}{2})^{ {^2}}-(\sqrt{3})^2\\\\=\frac{1}{2}+\frac{3}{4}-3\\\\=\frac{2}{4}+\frac{3}{4}-\frac{12}{4}\\\\=\frac{2+3-12}{4}\\\\=\frac{-7}{4}$

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