Derivates/Integrals of Trig, Identities, etc.

Question 1

Pythagorean Trig Identity #1

Accepted Answer

$\sin^2x + \cos^2x = 1$

Question 2

Pythagorean Trig Identity #2

Accepted Answer

$	an^2 x + 1 = \sec^2 x$

Question 3

Pythagorean Trig Identity #3

Accepted Answer

$\cot^2 x + 1 = \csc^2 x$

Question 4

$\frac{d}{dx}(\sin x)$

Accepted Answer

$\cos x$

Question 5

$\frac{d}{dx}(\cos x)$

Accepted Answer

$-\sin x$

Question 6

$\frac{d}{dx}(	an x)$

Accepted Answer

$\sec^2 x$

Question 7

$\frac{d}{dx}(\cot x)$

Accepted Answer

$-\csc^2 x$

Question 8

$\frac{d}{dx}(\sec x)$

Accepted Answer

$\sec x 	an x$

Question 9

$\frac{d}{dx}(\csc x)$

Accepted Answer

$-\csc x \cot x$

Question 10

$\int \sin xdx$

Accepted Answer

$-\cos x + C$

Question 11

$\int \cos xdx$

Accepted Answer

$\sin x + C$

Question 12

$\int 	an xdx$

Accepted Answer

$-\ln|\cos x| + C$

Question 13

$\int \cot xdx$

Accepted Answer

$\ln|\sin x| + C$

Question 14

$\int \sec xdx$

Accepted Answer

$\ln|\sec x + 	an x| + C$

Question 15

$\int \csc xdx$

Accepted Answer

$-\ln|\csc x + \cot x| + C$

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