Answer:
Step-by-step explanation:
cos^2θ = 1 - sin^2θ = 1 - 144/169 = 25/169
cos θ is positive in Quadrant IV
cos θ = √(25/169) = 5/13
The value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.
Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
We have: The terminal side of θ is in quadrant IV quadrant
sinθ = -12/13
cos²θ = 1 - sin²θ
cos²θ = 1 - (-12/13)²
cos²θ = 1 - 144/169
cos²θ = 25/169
cos θ = √(25/169)
cos θ = 5/13
cos θ is positive in Quadrant IV
Thus, the value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.
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