Trigonometry In the diagram, tan(C)=2.4. Find cos(A).
ONLY ANSWER IF YOU HAVE A VALID EXPLANATION!

Step-by-step explanation:

Without loss of generality, let and (follows tan(C)=2.4). In a right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side and the cosine of an angle is equal to its adjacent side divided by the hypotenuse.

We can use the Pythagorean Theorem (, where is the hypotenuse) to solve for the hypotenuse:

Therefore,

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step-by-step explanation:

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~courtney