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In Matematika / Sekolah Menengah Atas | 2025-07-03

temukan nilai dari x dan y dari sistem persamaan ini x+2y=10 dan 3x-y=5

Asked by agus94551

Answer (3)

"tan" means the tangent function of one of the acute angles. It's the ratio of the length of the opposite side to the length of the adjacent side. If you say that tan(a) = 3/4, then in the same triangle, the hypotenuse is 5 , and now that we know all the sides, we can state all the other trig functions of that angle.
opposite = 3 adjacent = 4 hypotenuse = 5
sin(a) = opp/hyp = 3/5 csc(a) = hyp/opp = 5/3
cos(a) = adj/hyp = 4/5 sec(a) = hyp/adj = 5/4
tan(a) = opp/adj = 3/4 cot(a) = adj/opp = 4/3

Answered by AL2006 | 2024-06-10

Given that \tan(A) = \frac{3}{4}, we find that \sin(A) = \frac{3}{5} and \cos(A) = \frac{4}{5}. This is calculated using the definitions of sine and cosine in relation to the sides of the triangle. The lengths of the opposite, adjacent, and hypotenuse sides are determined using the Pythagorean theorem.
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Answered by AL2006 | 2025-02-28

Nilai xx + 2y = 10 |×1| x + 2y = 103x - y = 5 |×2| 6x - 2y = 10_____________________+7x = 20x = 20/7Nilai yx + 2y = 10 |×3| 3x + 6y = 303x - y = 5 |×1| 3x - y = 5_______________________-7y = 25y = 25/7Kesimpulanx = 20/7y = 25/7HP = {20/7, 25/7}[tex] \pink{\mathcal{M \it 01}} [/tex]

Answered by Milana01 | 2025-07-03