Answer:
The answer shoud be False.
Step-by-step explanation:
The equation cos(x)+sin(x) = √3+1/2 is a trigonometric identity. This statement is false.
Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.
There is no trigonometric identity that define sin(x) + cos(x). Therefore the given equation is false. Another explanation is that, we cannot say that the given equation is true for each and every value of x, thus it is not an identity.
Learn more about trigonometric identity here
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