Answer:
Solution given:
Sin[tex]\theta_{1}=\frac{-24}{25}[/tex]
[tex]\frac{opposite}{hypotenuse}=\frac{-24}{25}[/tex]
equating corresponding value
opposite=-24
hypoyenuse=25
adjacent=x
By using Pythagoras law
hypotenuse²=opposite²+adjacent²
25²=(-24)²+x²
625=576+x²
x²=625-576
x=49
x=[tex]\sqrt{49}=7[/tex]
In IV quadrant
Cos angle is positive
Cos[tex]\theta_{1}=\frac{adjacent}{hypotenuse}[/tex]
Cos[tex]\theta_{1}=\frac{7}{25}[/tex]
