Answer:
26
Step-by-step explanation:
Answer:
k < -5
Step-by-step explanation:
5(k+4)<–5
Divide each side by 5
5/5(k+4)<–5/5
k+4 < -1
Subtract 4 from each side
k+4-4 < -1-4
k < -5
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.