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Answer:
sin θ = 5/13
cos θ = 12/13
Step-by-step explanation:
We know that tan θ = 5/12 which indicates that the adjacent side relative to θ is 12 and the opposite side relative to θ is 5. The hypotenuse is missing which can be figured out using the Pythagorean Theorem.
a² + b² = c²
c = √(5² + 12²)
c = √(169)
c = 13
The hypotenuse is 13, and we know that the opposite and adjacent sides measure 5 and 12, respectively.
sin θ = opposite/hypotenuse
sin θ = 5/13
cos θ = adjacent/hypotenuse
cos θ = 12/13
