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Verified Answer :

\(\cos\theta= \frac{9}{20} \\ \\\theta=\arccos \frac{9}{20} =63.26^o\)

Answer:

The missing value is 63.26°.

Step-by-step explanation:

Let the missing value be x.

The given equation is

\(\cos x=\frac{9}{20}\)

Taking cos⁻¹ on both the sides.

\(\cos ^{-1}(\cos x)=\cos ^{-1}(\frac{9}{20})\)

\(x=\cos ^{-1}(\frac{9}{20})\)                       \([\because \cos^{-1}(\cos x)=x]\)

\(x=\cos ^{-1}(0.45)\)

\(x=63.2563160496^{\circ}\)

\(x\approx 63.26^{\circ}\)

Therefore the missing value is 63.26°.

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