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sinθ
opposite/hypotenuse
sinθ (x/y/r)
y/r
cosθ
adjacent/hypotenuse
cosθ (x/y/r)
x/r
tanθ
opposite/adjacent
tanθ (x/y/r)
y/x
cscθ
hypotenuse/opposite
cscθ (x/y/r)
r/y
secθ
hypotenuse/adjacent
secθ (x/y/r)
r/x
cotθ
adjacent/opposite
cotθ (x/y/r)
x/y
Reciprocal of sinθ (1/___)
1/cscθ
Reciprocal of cscθ (1/___)
1/sinθ
Reciprocal of cosθ (1/___)
1/secθ
Reciprocal of secθ (1/___)
1/cosθ
Reciprocal of tanθ (1/___)
1/cotθ
Reciprocal of cotθ (1/___)
1/tanθ
Quotient Identity for tanθ
sinθ/cosθ
Quotient Identity for cotθ
cosθ/sinθ
Pythagorean Identity #1 (for r)
cos²θ + sin²θ = 1
Pythagorean Identity #2 (for x)
1 + tan²θ = sec²θ
Pythagorean Identity #3 (for y)
cot²θ + 1 = csc²θ