First way
arcsin(1/4) means that 1/4 sin of the angle.
sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4
<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4
For one value of sinα, possible 2 values of cosα.
A. you would put in 7 for X and 3 for Y.
3 + 7 = 10
2(10) = 20
Answer:
Slope <em>m</em> = 3
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = -1 + 3x
<u>Step 2: Rewrite</u>
<em>Rearrange</em>
y = 3x - 1
<u>Step 3: Break Function</u>
<em>Identify parts</em>
Slope <em>m</em> = 3
y-intercept <em>b</em> = -1
