5: analytic trig Flashcards
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1
Q
Pythagorean identities
A
sin²x + cos²x = 1
1 + tan²(x) = sec²(x)
1 + cot²(x) = csc²(x)
2
Q
sin(2u)
A
2(sinu)(cosu)
3
Q
cos(2u)
A
cos²u - sin²u
= 2cos²u - 1
= 1 - 2sin²u
4
Q
tan(2u)
A
(2tanu) / (1 - tan²u)
5
Q
a³ + b³
A
(a + b)(a² - ab + b²)
6
Q
a³ - b³
A
(a - b)(a² + ab + b²)
7
Q
cofunction of cosu
A
sin(π/2 - u)
8
Q
cofunction of cscu
A
sec(π/2 - u)
9
Q
cofunction of cotu
A
tan(π/2 - u)
10
Q
A
