Question

Evaluate :
1) sin square30°cos square 45°+4tan square 30°+1/2 sin square 90°+1/8cot square 90°

Answer 1

Answer:

19/8

Step-by-step explanation:

sin square30°cos square 45°+4tan square 30°+1/2 sin square 90°+1/8cot square 90°

$=(\frac{1}{2}) ^{2} (\frac{1}{\sqrt{2} }) ^{2} +4 \times (\frac{1}{\sqrt{3} }) ^{2} +\frac{1}{2} 1^2+\frac{1}{8} \times 0^2\\=\frac{1}{8} +\frac{4}{3} +\frac{1}{2} +0\\=\frac{1+32+24}{24} \\=\frac{57}{24} \\=\frac{19}{8}$