The trigonometric functions sinex , cosinex and tangentx
and the respective reciprocals cosecant x , secant x and cotangent x, where x is the
angle other than the right angle.
To remember easily these
functios are expressed interms of the sides right angled
triangle.
Let ABC be right angled triangle with right angle
at B. Letanle A = x.
Then sine A = Sine x = BC/AC =
Opposite side/Hypotenuse.
cosineA = cosx = AB/AC =
Adjacent side /Hypotenuse
tanA = tanx = sinx/cosx = BC/AB=
Opposite side/ Adjacent side.
cosecantA = cosecantx =
1/sinex =AC/AB
secantA = 1/cosinex =
AC/AB
cotangentx = 1/tangentx =
AB/BC.
Thus the trigonometric functions could be easily
remembered and calculated through the sides of the right angled triangle at least
roughly.
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