Question

Use an addition or subtraction formula to find the exact value of the expression of sin(-705)

Answer 1

\[\sin((-705)°)\]
\[\frac{ \sqrt{3} - 1 }{ 2\sqrt{2} }\]
\[\approx 0.25881\]

Answer 2

first off \(-705\) is co terminal with \(15\)

Answer 3

as \(-705+360+360=15\)

Answer 4

so you are asked to compute \(\sin(15)\) which you can use the half angle formula for, since \(15=\frac{30}{2}\)