Proving the closed form of sin &#x2061;<!-- ⁡ --> 48 &#x2218;<!-- ∘ --> </msup>

Let P(x, y) be the terminal point on the unit circle determined by t. Then $\sin t=,\cos t=,\text{and}\tan t=$.

State the parent function that must be transformed to create the graph of each of the following functions. Then describe the transformations that must be applied to the parent function.
a) ${\displaystyle y=\left(\frac{5}{4}\right)x^4+3}$
b) $y=3x-4$
c) ${\displaystyle y={(3x+4)}^3-7}$
d) ${\displaystyle y=-{(x+8)}^4}$
e) $y=-4.8(x-3)(x-3)$
f) ${\displaystyle 2{(\left(\frac{1}{5}\right)x+7)}^3-4}$