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Gnoma [55]
2 years ago
11

Consider ∠A such that cos A = 12/13.

Mathematics
1 answer:
Georgia [21]2 years ago
5 0

A)

Using the unit circle, for the cos function to be positive, angle A must lie in either <u>quadrant I or quadrant IV</u>

B)

Using the unit circle, If the sine is negative, angle A must lie in either quadrant III or quadrant IV. Since we know that the cosine is positive, this only leaves <u>quadrant IV</u>

<u />

D)

cos = adj/hyp

Using Pythagorean theorem,

12^{2} +b^{2} = 13^{2}

b = ±5 (we know its -5 since we know sinA is negative)

this means that the x coord is 12, and the y coord is -5

any proportion of these two numbers would work as an answer

e.g. <u>(12, -5), (24,-10),  (12/13, -5/13),</u> are all valid answers

E)

sinA = opp/hyp

<u>sinA = -5/13</u>

tanA = opp/adj

<u>tanA = -5/12</u>

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