Question

sin² 30° cos² 45°+ 4 tan² 30° + 1/2 sin² 60°​

Answer 1

Question :-

Evaluate :- $\sin² \: 30° \cos² \: 45°+ 4 \tan² \: 3 0° + 1/2 \sin² \: 60°$

Answer :-

$\sin² \: 30° \cos² \: 45°+ 4 \tan² \: 3 0° + 1/2 \sin² \: 60°$

$= (\frac{1}{4} \times \frac{1}{2} ) + (4 \times \frac{1}{3}) + (\frac{1}{2} \times \frac{3}{4} )$

$= \frac{1}{8} + \frac{4}{3} + \frac{3}{8}$

$= \frac{3 + 32 + 9}{24}$

$= \frac{44}{24}$

$= \frac{11}{6}$

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