Question

$\frac{ \sin(30) }{ \sin(45) } + \frac{ \tan(45) }{ \sec(60) } - \frac{ \sin(60) }{ \cot(45) } - \frac{ \cos(30) }{ \sin(90) }$
Evaluate :-​

Answer 1

=> (sin30°/sin45°) + (tan45°/sec60°) - (sin60°/cot45°) -

(cos30°/sin90°)

=> (1/2 × √2/1) + (1 × 2) - (√3/2 × 1) - (√3/2 × 1)

=> 1/√2 + 2 - √3/2 - √3/2

=>3 - √3