Proving Angle Addition/Subtraction Formulas
Geometry · Flashcards
GEOMETRY · FLASHCARDS
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QUESTION
State the cofunction identity for sine: what is
sin
(
π
2
−
θ
)
\sin\left(\frac{\pi}{2}-\theta\right)
sin
(
2
π
−
θ
)
?
QUESTION
State the cofunction identity for tangent: what is
tan
(
π
2
−
θ
)
\tan\left(\frac{\pi}{2}-\theta\right)
tan
(
2
π
−
θ
)
?
QUESTION
State the formula for
sin
(
α
−
β
)
\sin(\alpha-\beta)
sin
(
α
−
β
)
.
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ANSWER
sin
(
α
−
β
)
=
sin
α
cos
β
−
cos
α
sin
β
\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta
sin
(
α
−
β
)
=
sin
α
cos
β
−
cos
α
sin
β
. Standard angle subtraction formula for sine function.
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