The value of [tex]\theta[/tex] is 1°
Explanation:
The expression is [tex]\cos \theta=0.75[/tex]
Now, we shall determine the value of [tex]\theta[/tex].
Multiplying both sides by [tex]cos^{-1}[/tex], we get,
[tex](cos^{-1})\cos \theta=(cos^{-1})0.75[/tex]
Simplifying, we get,
[tex]\theta=cos^{-1}0.75[/tex]
Substituting the value of [tex]\cos ^{-1} 0.75[/tex], we get,
[tex]\theta=0.7227[/tex]
Rounding the value of [tex]\theta[/tex] to the nearest degree, we get,
[tex]\theta=1[/tex]
Hence, the value of [tex]\theta[/tex] is 1°
