Question

Find the value of sin(45-a) -
cos(45-a)​

Answer 1

Answer:

-√2sin(a)

Step-by-step explanation:

$\sin(45 - a) - \cos(45 - a) \\ \sin(45) \cos(a) - \cos(45) \sin(a) - ( \cos(45) \cos(a) + \sin(45) \sin(a) ) \\ \frac{ \cos(a) }{ \sqrt{2} } - \frac{ \sin(a) }{ \sqrt{2} } - \frac{ \cos(a) }{ \sqrt{2} } - \frac{ \sin(a) }{ \sqrt{2} } \\ - \frac{2 \sin(a) }{ \sqrt{2} } \\ - \sqrt{2} \sin(a)$