Find the values of the six trigonometric functions for the angle in standard position determined by each point. 10. (-5, -2)
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Let
x
=
−
4
Let
y
=
10
Let
r
=
the length of a line segment drawn from the origin to the point:
r
=
√
x
2
+
y
2
r
=
√
(
−
4
)
2
+
10
2
r
=
√
116
=
2
√
29
sin
(
θ
)
=
y
r
sin
(
θ
)
=
10
2
√
29
sin
(
θ
)
=
5
√
29
29
csc
(
θ
)
=
1
sin
(
θ
)
=
√
29
5
cos
(
θ
)
=
x
r
cos
(
θ
)
=
−
4
2
√
29
cos
(
θ
)
=
−
2
√
29
29
sec
(
θ
)
=
1
cos
(
θ
)
=
−
√
29
2
tan
(
θ
)
=
y
x
tan
(
θ
)
=
10
−
4
tan
(
θ
)
=
−
2.5
cot
(
θ
)
=
1
tan
(
θ
)
=
−
2
5
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