Trig ID Quotients And PYTHAG Flashcards
3 triangles from unit circle:
name the leg, leg and hypotenuse of the triangle that has
SINX
as “leg, leg, hypotenuse”
SIN, COS, 1
3 triangles from unit circle:
name the leg, leg and hypotenuse of the triangle that has
cosx
as “leg, leg, hypotenuse”
SIN, COS, 1
3 triangles from unit circle:
name the leg, leg and hypotenuse of the triangle that has
tanx
as “leg, leg, hypotenuse”
TAN, 1 , SEC
3 triangles from unit circle:
name the leg, leg and hypotenuse of the triangle that has
cotx
as “leg, leg, hypotenuse”
1,COT, CSC
3 triangles from unit circle:
name the leg, leg and hypotenuse of the triangle that has
sec x
as “leg, leg, hypotenuse”
TAN, 1, SEC
3 triangles from unit circle:
name the leg, leg and hypotenuse of the triangle that has
csc x
as “leg, leg, hypotenuse”
1, COT, CSC
What are the three hypotenuses from the three triangles?
1, SEC and CSC
write as reciprocal: sin x
1/csc x
write as reciprocal: cosx
1/sec x
write as reciprocal: tanx
1/cot x
write as reciprocal: cotx
1/tan x
write as reciprocal: secx
1/ cos x
write as reciprocal: cscx
1/ sin x
Write as single trig function: 1/sin x
csc x
Write as single trig function: 1/cosx
sec x
Write as single trig function: 1/tanx
cot x
Write as single trig function: 1/cotx
tan x
Write as single trig function: 1/secx
cos x
Write as single trig function: 1/cscx
sin x
Write as single trig function: sinx/cosx
tan x
Write as single trig function: cosx/sinx
cot x
Write as ratio of two trig functions: tanx
sin x/cos x
Write as ratio of two trig functions: cotx
cosx/sinx
PYTHAG IDENTITY: what it the identity with sin ?
sin2 + cos2 = 1
PYTHAG IDENTITY: what it the identity with cos?
sin2 + cos2 = 1
PYTHAG IDENTITY: what it the identity with tan ?
tan2 + 1 = sec2
PYTHAG IDENTITY: what it the identity with sec?
tan2 + 1 = sec2
PYTHAG IDENTITY: what it the identity with cot?
1 + cot2 = csc2
PYTHAG IDENTITY: what it the identity with csc ?
1 + cot2 = csc2
PYTHAG IDENTITY: use identity to substitute in for: sin2
1-cos2
PYTHAG IDENTITY: use identity to substitute in for: -sin2
cos2 - 1
PYTHAG IDENTITY: use identity to substitute in for: cos2
1-sin2
PYTHAG IDENTITY: use identity to substitute in for: -cos2
sin2 - 1
PYTHAG IDENTITY: use identity to substitute in for: tan2
sec2-1
PYTHAG IDENTITY: use identity to substitute in for: -tan2
1 - sec2
PYTHAG IDENTITY: use identity to substitute in for: cot2
csc2 - 1
PYTHAG IDENTITY: use identity to substitute in for: -cot2
1 - csc2
PYTHAG IDENTITY: use identity to substitute in for: sec2
tan2 + 1
PYTHAG IDENTITY: use identity to substitute in for: -sec2
-tan2 - 1
PYTHAG IDENTITY: use identity to substitute in for: csc2
1 + cot2
PYTHAG IDENTITY: use identity to substitute in for: -csc2
-1 - cot2
PYTHAG IDENTITY: use identity to substitute in for:
sin2+cos2
1
PYTHAG IDENTITY: use identity to substitute in for:
tan2+1
sec2
PYTHAG IDENTITY: use identity to substitute in for:
1+cot2
csc2
PYTHAG IDENTITY: use identity to substitute in for:
1-sin2
cos2
PYTHAG IDENTITY: use identity to substitute in for:
1-cos2
sin2
PYTHAG IDENTITY: use identity to substitute in for:
sin2-1
-cos2
PYTHAG IDENTITY: use identity to substitute in for:
cos2-1
-sin2
PYTHAG IDENTITY: use identity to substitute in for:
sec2-1
tan2
PYTHAG IDENTITY: use identity to substitute in for:
1-sec2
-tan2
PYTHAG IDENTITY: use identity to substitute in for:
sec2-tan2
1
PYTHAG IDENTITY: use identity to substitute in for:
1 (three ways)
csc2-cot2
sin2+cos2
sec2-tan2
PYTHAG IDENTITY: use identity to substitute in for:
csc2 - cot2
1