Question

sin 30. Cos 60° - tan 45°. sec 30°.cosec 60°+2cot45°​

Answer 1

Step-by-step explanation:

$sin30 = \frac{1}{2}$

$cos60 = \frac{1}{2}$

$tan45 = 1$

$sec30 = \frac{2}{ \sqrt{3} }$

$cosec60 = \frac{2}{ \sqrt{3} }$

$cot45 = 1$

$substitute \: in \: the \: given \: equation$

$\frac{1}{2} \times \frac{1}{2} - 1 \times \frac{2}{ \sqrt{3} } \times \frac{2}{ \sqrt{3} } + 1$

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

$according \: to \: bodmas \: rule \: addition \: comes \:first \\ hence \\ \frac{1}{4} - \frac{4 + 3}{3 } \\ = \frac{3 - 4(7)}{12} \\ = \frac{3 - 28}{12} \\ = \frac{ - 25}{28}$