Trigonometriska Identiteter Flashcards
cos(s + t) = ?
cos s * cos t - sin s * sin t
sin(s + t) = ?
sin s * cos t + cos s * sin t
cos(s - t) = ?
cos s * cos t + sin s * sin t
sin(s - t) = ?
sin s * cos t - cos s * sin t
The Pythagorean identity
cos^2 t + sin^2 t = 1
Cos supplementary angle identities
cos(pi - t) = -cos t
Sin supplementary angle identities
sin(pi - t) = sin t
tan t = ?
sin t / cos t
cot t = ?
cos t / sin t
sec t = ?
1 / cos t
csc t = ?
1 / sin t
Sine Law
sin A / a = sin B / b + sin C / c
Cosine Law: a^2 = ?
b^2 + c^2 - 2bc * cos A
Cosine Law: b^2 = ?
a^2 + c^2 - 2ac * cos B
Cosine Law: c^2 = ?
a^2 + b^2 - 2ab * cos C
tan2x = ?
1 + sec2x
cos2 x = ?
1 + cos 2x / 2
sin2 x = ?
1 - cos 2x / 2
sin 2x = ?
2 sin x * cos x
cos 2x = ?
2 cos2 x - 1 = 1 - 2 sin2 x
sec2 x = ?
1 + tan2 x
csc2 x = ?
1 + cot2 x