Geometry
Sum and Difference Trigonometric 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 \(N\)?