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

User Crtag
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1 Answer

5 votes

Answer: 0.75

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

User Aruni Godage
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