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Evaluate 5 si $n^{2}$ 30° + co $s^{2}$ 45° - 4 ta $n^{2}$ 30°.
Give the value as a fraction.

Class 10Trigonometric Ratios of Standard AnglesTrigonometry

A $\frac{5}{12}$
B $\frac{11}{12}$
C $\frac{5}{4}$
D $\frac{1}{4}$

Step-by-Step Solution

5 (\frac{1}{2})^{2} + (\frac{1}{2})^{2} - 4 (\frac{1}{3})^{2} = \frac{5}{4} + \frac{1}{2} - \frac{4}{3} = \frac{15}{12} + \frac{6}{12} - \frac{16}{12} = \frac{15 + 6 - 16}{12} = \frac{5}{12}

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Answer: A)

\frac{5}{12}

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