Calculus study for exam 1

𝒅𝒚/𝒅x (sin x)

Cos x

𝒅𝒚/𝒅𝒙 (cos x)

-Sin x

𝒅𝒚/𝒅𝒙 (tan x)

sec² x

𝒅𝒚/𝒅𝒙 (csc x)

-csc x cot x

𝒅𝒚/𝒅𝒙 (sec x)

sec x tan x

𝒅𝒚/𝒅𝒙 (cot x)

-csc² x

(x,y) is equivalent to

(Cosine, Sine)

Reciprocol of tan

cot = 1/tan

Reciprocol of cos

sec= 1/cos

Reciprocol of sin

csc=1/sin

How to find tan

tan = sin/cos

How to find horizontal asymptotes of f(x) frac​

Compare degress of numerator a (n) and denominator b (m).
n=m the horizontal asymptote is y=a/b
n>m there is no horizontal asymptote
n<m the horizontal asymptote is y=0

Graph of sin x shows that sin x oscillates between which numbers

-1 & 1

Graph of cos x shows that cos x oscillates between which numbers

-1 & 1

Tan is = to

Sin/Cosine

The limit as x→0 of Sin(x)/x =

1

The limit as x→0 of 1-cos(x)/x =

0

The limit as x → 0 of Cos(x) =

1

pythagorean identities

sin²+Cos²=1, 1+ tan²=sec², and 1+cot²=csc²