The minute hand on a watch is 8mm long and the hour hand is 4mm long. How fast is the distance between the tips of the hands changing at 1 o’clock? Hint: You will need the cosine law: in triangle ABC the side lengths are related by the formula (c)^2 = (a)^2 + (b)^2 − 2ab cos(∠C), where ∠C is the angle opposite side c.
Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
The minute hand on a watch is 8mm long and the hour hand is 4mm long. How fast is the distance between the tips of the hands changing at 1 o’clock? Hint: You will need the cosine law: in triangle ABC the side lengths are related by the formula (c)^2 = (a)^2 + (b)^2 − 2ab cos(∠C), where ∠C is the angle opposite side c.
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