cos divided by sin, or cos(θ) / sin(θ), is equal to cotangent (cot(θ)).
Here's a breakdown:
-
Trigonometric Ratios:
- cos(θ) = adjacent / hypotenuse
- sin(θ) = opposite / hypotenuse
-
Therefore:
cos(θ) / sin(θ) = (adjacent / hypotenuse) / (opposite / hypotenuse) -
Simplifying:
cos(θ) / sin(θ) = adjacent / opposite -
Cotangent Definition:
cot(θ) = adjacent / opposite -
Conclusion:
cos(θ) / sin(θ) = cot(θ)
Therefore, cos divided by sin is cotangent.
