Marie ran 842 meters in 12 minutes. How many meters per minute did she run?
1 answer:
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By using <em>algebra</em> properties and <em>trigonometric</em> formulas we find that the <em>trigonometric</em> expression is equivalent to the <em>trigonometric</em> expression
.
In this question we have <em>trigonometric</em> expression whose equivalence to another expression has to be proved by using <em>algebra</em> properties and <em>trigonometric</em> formulas, including the <em>fundamental trigonometric</em> formula, that is, cos² x + sin² x = 1. Now we present in detail all steps to prove the equivalence:
Given.
Subtraction between fractions with different denominator / (- 1) · a = - a.
Definitions of addition and subtraction / Fundamental trigonometric formula (cos² x + sin² x = 1)
Definition of tangent / Result
By using <em>algebra</em> properties and <em>trigonometric</em> formulas we conclude that the <em>trigonometric</em> expression is equal to the <em>trigonometric</em> expression
. Hence, the former expression is equivalent to the latter one.
To learn more on trigonometric equations: brainly.com/question/10083069
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