Proving the Pythagorean Identity
Precalculus · Flashcards · Recall
PRECALCULUS · FLASHCARDS
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QUESTION
What is the sign of
tan
(
θ
)
\tan(\theta)
tan
(
θ
)
in Quadrant III?
QUESTION
What is the Pythagorean identity relating
sin
(
θ
)
\sin(\theta)
sin
(
θ
)
and
cos
(
θ
)
\cos(\theta)
cos
(
θ
)
?
QUESTION
What identity relates
sin
2
(
θ
)
\sin^2(\theta)
sin
2
(
θ
)
and
cos
2
(
θ
)
\cos^2(\theta)
cos
2
(
θ
)
for any angle
θ
\theta
θ
?
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ANSWER
sin
2
(
θ
)
+
cos
2
(
θ
)
=
1
\sin^2(\theta)+\cos^2(\theta)=1
sin
2
(
θ
)
+
cos
2
(
θ
)
=
1
. Fundamental trig identity that holds for all angles.
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