Find a value of $α$ in $[0^{\circ}, 90^{\circ}]$ that satisfies the given statement. $\sec α = 1.3131199$
(Round to 6 decimal places)

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Final Answer: The value of $α$ that satisfies the given statement is ${40.399401}^{\circ}$

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Step 1 ：Given that $\sec α = 1.3131199$

Step 2 ：We know that $\sec α$ is the reciprocal of $\cos α$ , so $\cos α = \frac{1}{\sec α} = \frac{1}{1.3131199} = 0.7615450805368192$

Step 3 ：To find the value of $α$ , we need to find the arccosine (inverse cosine) of $\cos α$ . So, $α = \arccos (0.7615450805368192)$

Step 4 ：The above value is in radians. To convert it to degrees, we multiply by $\frac{180}{π}$ . So, $α = 0.7051025675145597 \times \frac{180}{π} = 40.399401$ degrees

Step 5 ：Final Answer: The value of $α$ that satisfies the given statement is ${40.399401}^{\circ}$

Find a value of α in [0∘,90∘] that satisfies the given statement. sec⁡α=1.3131199(Round to 6 decimal places)

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Find a value of $α$ in $[0^{\circ}, 90^{\circ}]$ that satisfies the given statement. $\sec α = 1.3131199$
(Round to 6 decimal places)