Question

I need help on as much as possible please JUST FOR ALL OF PART 1 - ANGLES! Thank-you! It’s an assignment not a quiz.

Answer 1

Question 1.

`\begin{gathered} \text{ since }\pi\text{ rad }=180^0 \\ \\ \Rightarrow65^0=(65^0)/(180^0)\pi\text{ rad} \\ \\ \Rightarrow65^0=(13)/(36)\text{ }\pi\text{ rad} \end{gathered}`

Question 2.

`\begin{gathered} \text{ since }\pi\text{ rad }=180^0 \\ \\ \Rightarrow(4)/(5)\pi\text{ rad }=(4)/(5)*180^0=144^0 \\ \\ \Rightarrow(4)/(5)\pi\text{ rad }=144^0 \end{gathered}`

Question 3.

Idea: The reference angle is the smallest possible angle made by the terminal side of the given angle with the x-axis

For second quadrant, the corresponding angle is 180 - x => 180 - 81 = 99

For third quadrant, the corresponding angle is 180 + x => 180 + 81 = 261

For fourth quadrant, corresponding angle is 360 - x => 360 - 81 = 279

Hence, the other 3 parameters are, 99, 261, and 279

Question 4.

since 320 falls in the fourth quadrant, its reference angle is just 360 - 320 = 40

Therefore, its reference angle is 40 degrees.