few_shots: Example:
Problem/activity:
Find the general solution for:
$${\mathrm{cos}\left({\pi\over2}+x\right)=\mathrm{tan}{\pi\over4}}$$


Standard options: 
A. Prove the Pythagorean identity sin^(2)(θ) + cos^(2)(θ) = 1 and use it to find sin(θ), cos(θ),or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle.
B. Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.


Your response:
B

Now, assign the following problem or activity to one or more relevant standards it aligns with.
shot_info: fl_problem_001894

HS
options: Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x).

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.
problem_activity: Task
Sketch  graphs of the functions $f$ and $F$ given by $f(x)= |x|$ and $F(x) = x^2$
for $-2 \leq x \leq 2$.
Suppose $g$ is the function given by  $g(x) = \frac{f(x)}{x}$ for  $x \neq 0$ and
$G$ is the function given by  $G(x) = \frac{F(x)}{x}$ for $x \neq 0$.
Sketch  graphs of the functions $g$ and $G$  for $x \neq 0$ and $-2 \leq x \leq 2$.
Is there a natural way to define $g$ and $G$ when $x =0$? Explain.


correct_option_index: 0