Trigonometric Mnemonic Chart: Handout 1
Name:
Chart
Mnemonic
“One single pale cosplayer, sleeping on a cot, can’t
seem to catch what he’s seeking: tan-lines.”
Mnemonics and Identities
Center out to opposing sides: “Center Over and Out”
1/sin (x) = csc (x)
1/csc (x) = sin (x)
1/tan (x) = cot (x)
1/cot (x) = tan (x)
1/sec (x) = cos (x)
1/cos (x) = sec (x)
Small triangles: “Adding Square Triangles”
sin2 (x) + cos2 (x) = 1
1 + cot2 (x) = csc2 (x)
tan2 (x) + 1 = sec2 (x)
Two neighbors along the edge: “Two Timing Neighbors”
tan (x) = sin (x) * sec (x)
sin (x) = cos (x) * tan (x)
cos (x) = sin (x) * cot (x)
cot (x) = cos (x) * csc (x)
csc (x) = cot (x) * sec (x)
sec (x) = csc (x) * tan (x)
One corner and go clockwise: “Overclocking”
tan (x) = sin (x) / cos (x)
sin (x) = cos (x) / cot (c)
cos (x) = cot (x) / csc (x)
cot (x) = csc (x) / sec (x)
csc (x) = sec (x) / tan (x)
sec (x) = tan (x) / sin (x)
One corner and go counter-clockwise/anti-clockwise: “Over-anti-clocking”
tan (x) = sec (x) / csc (x)
sec (x) = csc (x) / cot (x)
csc (x) = cot (x) / cos (x)
cot (x) = cos (x) / sin (x)
cos (x) = sin (x) / tan (x)
sin (x) = tan (x) / sec (x)