if sin 0 tan 0 is = 4 then find the value of cos 0
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If
tan
(
θ
)
=
4
then the ratio of the opposite side to the adjacent side is
4
:
1
Two possibilities exist depending upon whether
θ
is in Quadrant I or Quandrant III; as indicated below:
enter image source here
In either case the relative length of the hypotenuse is given by the Pythagorean Theorem as
XXX
h
=
√
4
2
+
1
2
=
√
17
Since
XXX
cos
(
θ
)
=
adjacent
hypotenuse
for this case
XXX
cos
(
θ
)
=
1
√
17
xx
or
xx
−
1
√
17
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