Determine whether the statement, "The word identity is used in different ways in additive identity,...

Step 1: Given that: 
We must determine whether the claim is true, "The word identity is used in different ways in additive identity, multiplicative identity, and trigonometric identity". makes sense or does not make sense. 
Step 2: Definition Used: 
Any declarative sentence that can only be true or false—not both—is a mathematically acceptable statement.
To indicate the identity of such functions, the word "identity" is employed in a variety of ways combined with other words. However, Identity means Uniqueness. 
Step 3: Explanation And Reasoning: 
Additive Identity: Yes the word additive identity makes a sense, Additive identity states that anything, when added to the function, will not affect the function, the function remains the same. However, 0 is the additive identity used in mathematics. 
For example: 
a+0=0+a=a 
Multiplicative Identity: 
Yes, the phrase "multiplicative identity" makes sense; it means that no matter what is multiplied by the function, the function remains unchanged. However, 1 is the Multiplicative identity used in mathematics. 
For example: 
ax1=1xa=a 
Trigonometric Identity: 
Yes, the word Trigonometric identity makes a sense, Trigonometric identity refers to some basic formulae of Trigonometric Used to perform actions in problems based on trigonometry. 
For example: 
${\displaystyle {\sin }^{2}x+{\cos }^{2}x=1}$ 
${\displaystyle {\sec }^{2}x-{\tan }^{2}x=1}$ 
${\displaystyle \cos e{c}^{2}x-{\cot }^{2}x=1}$