Question

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Answer 1

Step-by-step explanation:

$sin(360 \degree - \theta) \\ = sin \: 360 \degree \: cos \: \theta - cos \: 360 \degree \: sin \: \theta \\ = 0 \times \: cos \: \theta - 1 \times sin \: \theta \\ = 0 - sin \: \theta \\ = - sin \: \theta \\ \red{ \boxed{\bold{ \therefore \: sin(360 \degree - \theta) = - sin \: \theta}}}$

Answer 2

Answer:

Here's what I get  

Step-by-step explanation:

We can use the difference formula for sines:

sin(A - B) =sinAcosB - cosAsinB

Let A = 360° and B = θ. Then,

$\begin{array}{rcl}\sin(360^{\circ} - \theta) & = & \sin 360^{\circ} \cos \theta - \cos 360^{\circ} \sin \theta\\& = & 0\times \cos \theta - 1 \times \sin \theta \\ & = & 0 - \sin \theta\\& = & -\sin \theta\\\end{array}\\\large \boxed{\sin (360^{\circ} - \theta) = -\sin \theta}$