Suppose that your data shows that Saturn orbits every 29.5 years. To the nearest hundredth of an au, how far is Saturn from the
2 answers:
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Note that x is measured in radians.
The percent difference or error between sin(x) and tan(x) is calculated as
We want this percent difference to be less than 10.4%.
Because tan(x) > sin(x) for small values of x, define
From the calculator, obtain
sec⁻¹ 1.104 = 0.4375
Answer: x = 0.4375 radians
The percent difference or error between sin(x) and tan(x) is calculated as
We want this percent difference to be less than 10.4%.
Because tan(x) > sin(x) for small values of x, define
From the calculator, obtain
sec⁻¹ 1.104 = 0.4375
Answer: x = 0.4375 radians