please help me with this, keep messing up.show your work please. I think i did it in the wrong quadrant.. Created by Love. science-mathematics-en - mathematics-en

Given tan θ = 5/12 and sin θ

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May 2021 1 78 Report

Given tan θ = 5/12 and sin θ < 0, find cos θ?

please help me with this, keep messing up.

show your work please. I think i did it in the wrong quadrant.

Science & Mathematics / Mathematics

Answers & Comments

frak1a12345

Verified answer

5 and 12 are 2 sides of a Pythagorean triple triangle. The hypotenuse is 13. Therefore the cosine has to be 12/13. Since this in the third quadrant (the tan is positive and the sin is negative), the cosine is negative also.

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