Answer:
(D.) cos²(t) − sin²(t) = –1
Step-by-step explanation:
The "Pythagorean identity" for sine and cosine is ...
cos²(t) + sin²(t) = 1
Changing the sign makes it not be an identity.
_____
A makes use of the fact that tangent is an odd function.
B makes use of cot=1/tan and tan=sec/csc.
C makes use of cot=cos/sin.
D has no relation to any definition or identity.