Question

Without using trignemetric tables evaluate the following
Cos 30° /sec 30+cosec 30/tan 45-2 cos 0/sin 30+cos²45​

Answer 1

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Cos30/sec30 + cosec30/tan45 - 2cos0/sin30 + cos^2 30

${cos}^{2} 30 \: + \frac{2}{1} - \frac{2(1)}{ \frac{1}{2} } + { \cos }^{2} 45 \\ { \frac{ \sqrt{3} }{2} }^{2} + 2 - 4 + \frac{1}{2} \\ \frac{3}{4} - 2 + \frac{1}{2} \\ \frac{3 - 8 + 2}{4} \\ \frac{3}{4}$