If sinQ =5/13 find cosQ and tanQ
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Answer:
Explanation:
If sin=5/13
then the ratio of opposite sidehypotenuse
=5\13
By Pythagorean Theorem
If
opposite side
=
5
units
and
hypotenuse
=
13
units
(for any
units
)
then
adjacent side
=
12
units
and
cos
=
adjacent side
hypotenuse
=
12
13
However, we need to note that if the angle is in Quadrant II then the
adjacent side
will actually be a negative value,
so
cos
=
12
13
for an angle in Q
cos
=
−
12
13
for an angle in Q II
(the angle can't be in Q III or Q IV, since
sin
>
0
)
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