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zavuch27 [327]
3 years ago
14

Given that sin A = 1/3 and angle A is in the first quadrant, find cos A

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
7 0
Hope this helps you.

scoundrel [369]3 years ago
3 0
Sin A = opposite / hypotenuse 

If angle A is in the first quadrant, that means both x and y coordinate are positive.

Now you can draw triangle. Since sinA = 1/3, opposite side may be 1, so then hypotenuse side must be 3.

Now you can use Pythagorean Theorem to solve for the length of adjacent side:

a² + b² = c²
1 + b² = 9
b² = 8
b = 2√2

So adjacent side is 2√2.

So now we can solve for cosA:

cosA = adjacent / hypotenuse = 2√2 / 3

Final answer: 2√2 / 3
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