Answer: x = 22.21
Step-by-step explanation:
Given
7 · cos (2x) = 5
Divide 7 on both sides
7 · cos (2x) / 7 = 5 / 7
cos (2x) = 5/7
Divide cosine on both sides (meaning applying cos⁻¹ to the right-hand side)
2x = cos⁻¹ (5/7)
Divide 2 on both sides
2x / 2 = [cos⁻¹ (5/7)] / 2
[tex]\boxed {x=22.21}[/tex] (Rounded to the hundredth place)
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