Trig Identities, Inverses, Derivatives, and Inverse Derivatives

All the trig idenities for units 2 and 3. (NOT INTEGRALS)

Quotient Identity: tan(x) = ?

tan (x) = [ sin(x) / cos(x) ]

Quotient Identity: cot(x) = ?

cot(x) = [ cos(x) / sin(x) ]

Reciprocal: csc(x) = ?

csc(x) = 1 / sin(x)

Reciprocal: sin(x) = ?

sin(x) = 1 / csc(x)

Reciprocal: sec(x) = ?

sec(x) = 1 / cos(x)

Reciprocal: cos(x) = ?

cos(x) = 1 / sec(x)

Reciprocal: cot(x) = ?

cot(x) = 1 / tan(x)

Reciprocal: tan(x) = ?

tan(x) = 1 / cot(x)

Pythagorean identity with sin & cos?

sin²(x) + cos²(x) = 1

Pythagorean sin²(x) = ?

sin²(x) = 1 - cos²(x)

Pythagorean cos²(x) = ?

cos²(x) = 1 - sin²(x)

Pythagorean identity with sec & tan?

sec²(x) - tan²(x) = 1

Pythagorean: sec²(x) = ?

sec²(x) = 1 + tan²(x)

Pythagorean: tan²(x) = ?

tan²(x)= sec²(x) - 1

Pythagorean identity with csc & cot?

csc²(x) - cot²(x) = 1

Pythagorean: csc²(x) = ?

csc²(x) = 1 + cot²(x)

Pythagorean: cot²(x) = ?

cot²(x) = csc²(x) - 1

d/dx [ sin(x) ] = ?

d/dx [ sin(x) ] = cos(x)

d/dx [ cos(x) ] = ?

d/dx [ cos(x) ] = -sin(x)

d/dx [ tan(x) ] = ?

d/dx [ tan(x) ] = sec²(x)

d/dx [ csc(x) ] = ?

d/dx [ csc(x) ] = -csc(x) × cot(x)

d/dx [ sec(x) ] = ?

d/dx [ sec(x) ] = sec(x) × tan(x)

d/dx [ cot(x) ] = ?

d/dx [ cot(x) ] = -csc²(x)

d/dx [ sin^-1(x) ] = ?

d/dx [ sin^-1(x) ] = [ 1 / √( 1 - x²) ]

d/dx [ cos^-1(x) ] = ?

d/dx [ cos^-1(x) ] = [ -1 / √( 1 - x²) ]

d/dx [ tan^-1(x) ] = ?

d/dx [ tan^-1(x) ] = [ 1 / (1 + x²) ]

d/dx [csc^-1(x) ] = ?

d/dx [csc^-1(x) ] = [ -1 / (x × √(x² - 1)) ]

d/dx [sec^-1(x)] = ?

d/dx [sec^-1(x)] = [ 1 / (x × √(x² - 1)) ]

d/dx [cot^-1(x)] = ?

d/dx [cot^-1(x)] = [ -1 / (1 + x²) ]