Trig identities is this true?

Question

sin^(2)x = (sinx)(sinx)same with cos^2x it would be (cosx)(cosx)?and sinx/cos x =tanx so would that means sin^2x/cos^2x=tan^2x or sin^4x/c0s^4x = tanx^4?..sorry if i made grammar mistake im tired thanks for the help!

Answer 1

It is true

Answer 2

Yeah! that's right =)

sin^2x/cos^2x

is the same as (sin x/cos x)^2 so you get tan^2x  

Don't worry/

You'll soon get the hang of it "D

Answer 3

U R right. Its a simple law if indces, namely (ab)^2 = (a^2)(b^2) and

(a/b)^2 = (a^2)/(b^2) etc.

Answer 4

Except for the typo of tanx^4 instead of tan^4 (x) it's OK.

-F

Answer 5

sin x / cos x = tan x

sin ² x / cos ² x

(sin x) (sin x)

------------------

(cos x ) (cos x)

tan x tan x

tan ² x

Similarly :-

(sin x)^4 / (cos x)^4 = ( tan x )^4 = tan ^4 x