Question

Please answer ASAP. The question is down below.

Answer 1

Answer: 1) c 2) d

Explanation:

Use Pythagorean Theorem to find the hypotenuse (r): x² + y² = r²

Given: x = 2, y = 6

2² + 6² = r²

4 + 36 = r²

40 = r²

`√(40)=r`

`\sin \theta=(y)/(r)\quad =\large\boxed{(6)/(√(40))}\quad \rightarrow (6)/(2√(10))\quad \rightarrow (3)/(√(10))`

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`\sin \theta = (opposite(y))/(hypotenuse(r))\quad =(12)/(20)\quad \rightarrow (3)/(5)\quad \rightarrow \large\boxed{0.6}\\\\\\\cos \theta = (adjacent(x))/(hypotenuse(r))\quad =(16)/(20)\quad \rightarrow (4)/(5)\quad \rightarrow \large\boxed{0.8}`