The girls track team won 8 races and lost 2. Write the ratio of wins to total races in lowest terms
2 answers:
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Answer:
tan(x) = (√6)/2
Step-by-step explanation:
The tangent identity is ...
tan = sin/cos
<h3>Substitution</h3>Substituting the given values of sine and cosine, we have ...
At this point, it becomes a problem in simplifying a compound fraction. This can be done by dividing the fractions in the usual way, and cancelling common factors from numerator and denominator.
We note the denominators (55) are the same, and that 42=3·14, so we can simplify this to ...
The step of multiplying by (√6)/(√6) is for the purpose of "rationalizing the denominator," making the denominator a rational number: (√6)² = 6.
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<em>Additional comment</em>
If sin(x) = 42/55, then cos(x) = (√1261)/55. There is no angle x that will have these values of its trig functions. (Another example of poor curriculum editing.)