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3 years ago

Please im doing a quiz rn and i need the answer asap

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

Answer:

sin A = 3/5

cos A = 4/5

tan A = 3/4

Step-by-step explanation:

Using the trigonometric ratios;

SOH CAH TOA

Sin A = opposite/hypotenuse

cos A = adjacent/hypotenuse

tan A = opposite / adjacent

From the diagram given;

opposite = 3 adjacent =4

We can find the value of the hypotenuse by using the Pythagoras theorem

opposite² + adjacent² = hypotenuse²

3² + 4² =hypotenuse²

9 + 16 =hypotenuse²

25 = hypotenuse²

take the square root of both-side

√25 = √hypotenuse²

5 = hypotenuse

hypotenuse = 5

sin A = opposite / hypotenuse

sin A = 3/5

cos A = adjacent/hypotenuse

cos A = 4/5

Tan A = opposite /adjacent

tan A = 3/4

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