Answer: the answer is B
Step-by-step explanation:
The equation
can be used to find the measure of ∠BAC ⇒ 2nd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
In Δ ABC
∵ ∠ BCA is a right angle
∴ The hypotenuse is AB
∵ The adjacent side to ∠CAB is AC
∵ The opposite side to ∠CAB is BC
∵ AB = 13 units ⇒ hypotenuse
∵ CB = 12 units ⇒ opposite
∵ AC = 5 units ⇒ adjacent
- Let us find the trigonometry ratios of angle BAC
∵ m∠CAB is x
∵ ![sin(x)=\frac{BC}{AB}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
∴ ![sin(x)=\frac{12}{13}](https://tex.z-dn.net/?f=sin%28x%29%3D%5Cfrac%7B12%7D%7B13%7D)
∴ ![x=sin^{-1}(\frac{12}{13})](https://tex.z-dn.net/?f=x%3Dsin%5E%7B-1%7D%28%5Cfrac%7B12%7D%7B13%7D%29)
∵
∴ ![cos(x)=\frac{5}{13}](https://tex.z-dn.net/?f=cos%28x%29%3D%5Cfrac%7B5%7D%7B13%7D)
∴ ![x=cos^{-1}(\frac{5}{13})](https://tex.z-dn.net/?f=x%3Dcos%5E%7B-1%7D%28%5Cfrac%7B5%7D%7B13%7D%29)
∵
∴
∴ ![x=tan^{-1}(\frac{12}{5})](https://tex.z-dn.net/?f=x%3Dtan%5E%7B-1%7D%28%5Cfrac%7B12%7D%7B5%7D%29)
The equation
can be used to find the measure of ∠BAC
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/4924817
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Answer:
x + y are either 2 or 4
Step-by-step explanation:
conclusion x + y = 2 OR 4