Respuesta :
[tex]\cos\theta= \frac{9}{20}
\\
\\\theta=\arccos \frac{9}{20} =63.26^o[/tex]
Answer:
The missing value is 63.26°.
Step-by-step explanation:
Let the missing value be x.
The given equation is
[tex]\cos x=\frac{9}{20}[/tex]
Taking cos⁻¹ on both the sides.
[tex]\cos ^{-1}(\cos x)=\cos ^{-1}(\frac{9}{20})[/tex]
[tex]x=\cos ^{-1}(\frac{9}{20})[/tex] [tex][\because \cos^{-1}(\cos x)=x][/tex]
[tex]x=\cos ^{-1}(0.45)[/tex]
[tex]x=63.2563160496^{\circ}[/tex]
[tex]x\approx 63.26^{\circ}[/tex]
Therefore the missing value is 63.26°.
