Question

1 cos30. Cos45. - sin30. Sin45.
2 tan30. Sen 45. tan60. Sec30

Answer 1

$\huge\underline{\underline{solution}}$

$\cos(30) . \cos(45) - \sin(30) \sin(45) \\ \\ \frac{ \sqrt{3} }{2} \times \frac{1}{ \sqrt{2} } - \frac{1}{2} \times \frac{1}{ \sqrt{2} } \\ \\ \frac{ \sqrt{3} }{2 \sqrt{2} } - \frac{1}{2 \sqrt{2} } \\ \\ \frac{ \sqrt{3} - 1 }{2 \sqrt{2} } \\ \\ \\ \tan(30) \sin(45) \tan(60) \sec(30) \\ \\ \frac{1}{ \sqrt{3} } \times 1 \times \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ \\ \frac{2}{ \sqrt{3} }$