Correct and cotangent; Secant refers to secant and cotangent, that is, the derivatives of tangent and cotangent are the squares of secant and cotangent.
Tangent (tanx)' = seconds? x= 1/cos? x
Cotangent (cotx)'=-csc? x=- 1/sin? x
Cut, multiply and cut: the derivatives of secant and cotangent are multiplied by the corresponding tangent and cotangent.
(secx)′= secx tanx
(cscx)' =-cscx cotx
Inverse fraction: that is, the derivative of the inverse function is no longer a trigonometric function (the way has changed)
Arcsinx' = 1/√ ( 1-x? )
Arccosx' =- 1/√ ( 1-x? )
Arctanx' = 1/( 1+x? )
Arccotx' =- 1/( 1+x? )