Question

2 sin 30° + 4cos 60° - 3 cot 45° + sec 45°

Answer 1

Step-by-step explanation:

$2 sin 30° + 4cos 60° - 3 cot 45° + sec 45°$

$= > 2 sin 30° + 4cos 60° - 3 cot 45° + \frac{1}{ \cos(45) }$

$= > use \: the \: following \: trivial \: \\ identity \: sin(30) = \frac{1}{2}$

$= > use \: the \: following \: trivial \: identity: cos(60)= \frac{1}{2}$

$= > use \: the \: following \: trivial \: identity: cot(45) = 1$

$= > use \: the \: following \: trivial \: identity: cos(45) = \frac{ \sqrt{2} }{2}$

$= > - 2 \times \frac{1}{2} + 4 \times \frac{1}{2} - 3 \times 1 + \frac{1}{ \frac{ \sqrt{2} }{2} }$

$= >\huge \sqrt{2}$

$\huge{ son \: prodigal}$