Since this is not a rational function (with undetermined values in the denominator), but just a normal expression, we can just substitute t with the value toward which the function is approaching. Since this is a continuous function, it doesn't matter from which side it's approaching 0. In this case, let t=0, then sin(4t)=0, cos(4t)=1, then -2 sin^2(4t)+2tcos(4t)=0.
Answer:
Option D: 1/3
Step-by-step explanation:
Let
x ------> the entire Stefanie's allowance
we know that
She spends on clothes (1/2)x
She spends on movies (1/6)x
To find out how much more does she spend on clothes that he does on movies, subtract the amount she spends on movies from the amount she spend on clothes

Simplify

therefore
She spends 1/3 more on clothes that he does on movies
Radical form for 112 would be 4{7 and then I think you can just search up how to reduce the 4 to 7 i don’t have the symbol btw
A' = (-2, 1)
B' = (1, 0)
C' = (-1, 0)