Question

Find the missing value to the nearest hundredth. cos ___ =9/20

Answer 1

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

Answer 2

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°.