Help not sure if this is correct Notation is so important St

Help, not sure if this is correct,

Notation is so important. State if the two expressions are equivalent, C for correct and I for incorrect. sin (1/cos (x)) = tan (x) 1/cot (x) = tan x sin^2 (x) = sin(x^2) sin^2 (x) = (sin (x))^2 sin^2 (x) = (sin (x))^2 sin^2 (x) = sin(sin (x)) sin^1 (x) = 1/sin (x) sin^-1 (x) = (sin (x))^-1 tan (sin^-1 (x)) = sec(x) sin x^-1 = sin (1/x) cos^2 (x) = 1 - sin^2 (x) 1 - sec^2 (x) = tan^2 (x) tan^2 (x) = tan (x)^2

Solution

A. sin( 1/cos(x)) =tan(x)

Incorrect I as sin(x)/cos(x) = tan(x)

B 1/cost(x) = tan(x)

Correct C

C Incorrect

D. sin^x = (sinx)^2

Correct

E sin^2(x) = sin(sin(x))

Incorrect I

as sin^2(x) = sin(x)*sin(x)

F. sin^-1(x) = 1/sinx

Incorrect I

G. sin^-1(x) = (sin(x))^-1

Incorrect I

I. sinx^-1 = sin(1/x)

Correct C

as sin(x^-1) = sin(1/x)

K. 1 - sec^2x = tan^2x

Correct C

This is a standard trigpnometrice identity