Sine and Cosine of Complementary Angles
Geometry · Flashcards · Application
GEOMETRY · FLASHCARDS
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QUESTION
What is
sin
(
θ
)
\text{sin}(\theta)
sin
(
θ
)
if
cos
(
θ
)
=
7
25
\text{cos}(\theta)=\frac{7}{25}
cos
(
θ
)
=
25
7
and
θ
\theta
θ
is acute?
QUESTION
What is
cot
(
θ
)
\text{cot}(\theta)
cot
(
θ
)
if
tan
(
θ
)
=
9
4
\text{tan}(\theta)=\frac{9}{4}
tan
(
θ
)
=
4
9
?
QUESTION
What is
cos
(
θ
)
\text{cos}(\theta)
cos
(
θ
)
if
sin
(
θ
)
=
3
5
\text{sin}(\theta)=\frac{3}{5}
sin
(
θ
)
=
5
3
and
θ
\theta
θ
is acute?
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ANSWER
cos
(
θ
)
=
4
5
\text{cos}(\theta)=\frac{4}{5}
cos
(
θ
)
=
5
4
. Use Pythagorean identity:
cos
2
(
θ
)
=
1
−
sin
2
(
θ
)
=
16
25
\text{cos}^2(\theta)=1-\text{sin}^2(\theta)=\frac{16}{25}
cos
2
(
θ
)
=
1
−
sin
2
(
θ
)
=
25
16
.
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