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how do i expand this complex trig function?
The unexpanded form and expanded form are both given, I just need to know how the heck it is derived from the unexpanded (top) form.
2 Answers
- 10 years agoFavorite Answer
Only the numerator is expanded, so I won't be looking at the denominator:
(cosΘ + 1)sinΘcosΘ - (cosΘ - 1)sinΘ
sinΘcos²Θ + sinΘcosΘ - sinΘcosΘ + sinΘ
the sinΘcosΘ and sinΘ are just distributed among quantities in parentheses. the middle terms cancel out.
- 10 years ago
expand it like you would normally expand any other algebraic expression.
sin(x)cos(x)*(cos(x)) + sin(x)*cos(x)*1 - sin(x)*cos(x) - (-1)*sin(x)
then simplify the cos(x)*cos(x) to cos(x)^2 and the two negatives at the end make a positive.
Source(s): engineer
