Precalculus: Trigonometric functions
1. Definitions
cosine: cos x = b / h
sine: sin x = a / h
tangent: tg x = a /b
cotangent: cot x = 1 / tan = b/a
secant: sec (x) = 1 / cos (x)
cosecant: cosec(x) = 1/ sin(x)
2. Main formulas
cos2 a + sin2 a = 1
cox (a + b) = cos a cos b - sin a sin b
sin (a + b) = sin a cos b + cos a sin b
sin (a) = sin (a + 2π)
cos (a) = cos (a + 2π)
tan (a) = tan (a + π)
sin (- a) = - sin (a)
cos (- a) = cos (a)
tan (- a) = - tan (a)
3. Related graphs
1. Related angles
2. related sin and cos
3. Exercises
Find the exact value of each of the following:
cos (π/3)
sin ( 9π/4)
tan (4π/3)
cosec (27π/6)
Solutions
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