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Hi there, I need help I'm struggling with my algebra 2 class. sine, cosine.

Hi there, I need help I'm struggling with my algebra 2 class. sine, cosine.-example-1

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Given: A right-angled triangle with AB=30 units, BC=40 units, and AC=50 units.

Required: To find the trigonometric ratio cos(A).

Explanation: The trigonometric ratio cosine is defined as the ratio of the adjacent side to the triangle's hypotenuse.


cos(\theta)=\frac{adjacent\text{ }side}{hypotenuse}

Here, in triangle ABC, the adjacent side for angle BAC is AB, and AC is the triangle's hypotenuse.

Hence


\begin{gathered} cos(A)=(AB)/(AC) \\ =(30)/(50) \\ =(3)/(5) \end{gathered}

Final Answer:


cos(A)=(3)/(5)

User Thierry J
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