raph 5b. make a chart first!! hart sinx 5b) graph g(x) = cos 3x 0 60 120 180 240 300 360 my chart x | cos 3x…
raph 5b. make a chart first!! hart sinx 5b) graph g(x) = cos 3x 0 60 120 180 240 300 360 my chart x | cos 3x 0 30 60 90 120
Answer
Answer:
| x (in degrees) | cos 3x |
|---|---|
| 0 | 1 |
| 30 | 0 |
| 60 | -1 |
| 90 | 0 |
| 120 | 1 |
Explanation:
Step1: Recall cosine - angle formula
We know that we need to find the value of $\cos(3x)$ for different values of $x$.
Step2: When $x = 0$
Substitute $x = 0$ into $\cos(3x)$. Then $\cos(3\times0)=\cos(0)=1$.
Step3: When $x = 30$
Substitute $x = 30$ into $\cos(3x)$. Then $3x=3\times30 = 90$, and $\cos(90)=0$.
Step4: When $x = 60$
Substitute $x = 60$ into $\cos(3x)$. Then $3x = 3\times60=180$, and $\cos(180)=-1$.
Step5: When $x = 90$
Substitute $x = 90$ into $\cos(3x)$. Then $3x=3\times90 = 270$, and $\cos(270)=0$.
Step6: When $x = 120$
Substitute $x = 120$ into $\cos(3x)$. Then $3x=3\times120 = 360$, and $\cos(360)=1$.