Proving the Pythagorean Identity
Geometry · Flashcards · Recall
GEOMETRY · FLASHCARDS
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QUESTION
What are the signs of
sin
(
θ
)
\sin(\theta)
sin
(
θ
)
and
cos
(
θ
)
\cos(\theta)
cos
(
θ
)
in Quadrant I?
QUESTION
State the definitions
sin
(
θ
)
\sin(\theta)
sin
(
θ
)
and
cos
(
θ
)
\cos(\theta)
cos
(
θ
)
in a right triangle.
QUESTION
Identify the right-triangle relation used to prove
sin
2
(
θ
)
+
cos
2
(
θ
)
=
1
\sin^2(\theta)+\cos^2(\theta)=1
sin
2
(
θ
)
+
cos
2
(
θ
)
=
1
.
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ANSWER
a
2
+
b
2
=
c
2
a^2+b^2=c^2
a
2
+
b
2
=
c
2
. The Pythagorean theorem for right triangles with hypotenuse
c
c
c
.
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