Geometry

# Sine - Sum and Difference Formulas

Which of the following is equal to

$\sin 56 ^ \circ \cos 17 ^ \circ - \cos 56 ^ \circ \sin 17 ^ \circ ?$

$\sin 43 ^ \circ \cos 82 ^ \circ + \cos 43 ^ \circ \sin 82 ^ \circ = \sin N ^\circ$, where $0 \leq N \leq 90$. What is the value of $N$?

Which of the following is equal to

$\sin 29 ^ \circ \cos 31 ^ \circ + \cos 29 ^ \circ \sin 31 ^ \circ ?$

Using the Sine sum formula, what is the value of

$\sin 75 ^ \circ ?$

$\sin 21 ^ \circ \cos 37 ^ \circ + \cos 21 ^ \circ \sin 37 ^ \circ = \sin N ^\circ$, where $0 \leq N \leq 90$. What is the value of $N$?

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