Using the special angle table, co-function relationships, and the trigonometric identities for reciprocal and quotient identities, find the following given that angle x = pi/4?
Find:
cosx
cscx
cotx
sin(90° - x)
tan(90° - x)
sec(90° - x)
Find:
cosx
cscx
cotx
sin(90° - x)
tan(90° - x)
sec(90° - x)
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π/4 = 45 deg
cos (π/4) = cos 45 = 1/(sqrt 2)
csc π/4 = 1/sin 45 = 1/{1/(sqrt 2)} = sqrt 2
cot x = cot 45 = 1 / tan 45 = 1/1 = 1
sin (90 - π/4) = sin 45 = 1/(sqrt 2)
tan (90 - π/4) = tan 45 = 1
sec (90 - π/4) = sec 45 = 1/ (cos 45) = 1/(1/sqrt 2) = sqrt 2
cos (π/4) = cos 45 = 1/(sqrt 2)
csc π/4 = 1/sin 45 = 1/{1/(sqrt 2)} = sqrt 2
cot x = cot 45 = 1 / tan 45 = 1/1 = 1
sin (90 - π/4) = sin 45 = 1/(sqrt 2)
tan (90 - π/4) = tan 45 = 1
sec (90 - π/4) = sec 45 = 1/ (cos 45) = 1/(1/sqrt 2) = sqrt 2
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pi/4 is really 45 degrees.
cos(45) is squareroot(2)/2
use this for the rest..
http://www.mathsisfun.com/geometry/images/circle-unit-radians.gif
cos(45) is squareroot(2)/2
use this for the rest..
http://www.mathsisfun.com/geometry/images/circle-unit-radians.gif