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tanθ =
1/cosθ
1/sinθ
cosθ/sinθ
sinθ/cosθ
cotθ =
1/cosθ
1/cscθ
1/secθ
1/tanθ
cotθ =
cosθ/sinθ
sinθ/cosθ
tanθ
1/cosθ
1+tan2x=
csc2x
cot2x
sin2x
sec2x
1+cot2x =
csc2x
sec2x
cos2x
tan2x
Simplify
cotθtanθ
sin²θ/cos²θ
1
0
cos²θ/sin²θ
Simplify
secθcotθsinθ
-1
sin θ
csc θ
1
Simplify
cot2θ(1+tan2θ)
csc²θ
sec²θ
cscθ
1
Simplify
sinθ(cscθ−sinθ)
secθ
cos²θ
sin²θ
sin²θ/cos²θ
Simplify
tanxcscxcosx
1/cos x
1
cot x
-1
Simplify
cotθsinθ
sin²θ
cosθ
tanθ
1- sin²θ
Simplify (secθ−1)(secθ+1)
2secθ
cot²θ
tan²θ
sec²θ + 1
Simplify
csc x(cosx+sinx)
csc x
tan x + 1
cot x
cot x + 1
Simplify tanx(cotx + cscx)
1 + sec x
1 + csc x
sec x - 1
tan² x
sec2x − 1 =
cot2x
csc2x
cos2x
tan2x
What happens when you multiply two reciprocal functions?
You get a pythagorean identity
It equals 1
You get a quotient identity
It equals 0
Simplify (cscx+1)(cscx−1)
csc2x+1
tan2x
cot2x
2cscx
1−sin2x =
sin2x
cos2x
sec2x
csc2x
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