For each trigonometric expression A B C D E choose the expre

For each trigonometric expression A, B, C, D, E, choose the expression from 1, 2, 3, 4, 5 that completes a fundamental identity. Enter the appropriate letter (A, B, C, D, or E) in each blank. (sin x)^2 + (cos x)^2 sin x/cos x (tan x)^2 + 1 cos x/sin (x) (sin x)^2 cot x (sec x)^2 1 - (cos x)^2 tan x 1

Solution

A. Sin²x + Cos²x = 1

B. sinx / cos x = tan x

C. tan²x + 1 = sec²x

D . cosx / sin x = cot x

E. sin²x = 1 - cos²x

So, the answers have to be filled as follows.

D 1. cotx

C 2. (sec x)²

E 3. 1-(cos x)²

B 4. tanx

A 5. 1