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Sauron [17]
3 years ago
8

If cos a=0•8, what Is the value of tan a​

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Answer: 0.75

Step-by-step explanation:

Cos A = 0.8 = 4/5

Note that:

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

Since cos = adjacent / hypotenuse

Therefore, we need to find the opposite which will be:

Hypothenuse² = Opposite² + Adjacent²

5² = Opposite² + 4²

Opposite² = 5² - 4²

Opposite² = 25 - 16

Opposite² = 9

Opposite = ✓9

Opposite = 3

Since tangent = opposite / adjacent

Tan a = 3/4 = 0.75

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