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\frac{1}{0.09537490336060164 ^ {-1}}
Evaluate trigonometric functions in the problem
\frac{1}{\frac{1}{0.09537490336060164}}
Use the rules of exponents to simplify the expression.
0.09537490336060164^{-\left(-1\right)}
To raise a power to another power, multiply the exponents.
0.09537490336060164^{1}
Multiply -1 times -1.
0.09537490336060164
Raise 0.09537490336060164 to the power 1.