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In right triangle ABC with B = 90 , we have 2 sin A = 5 cos A. What is tan A?

Guest Nov 20, 2021

Guest · Answer 1 · 2021-11-20T05:19:06

2 sin A = 5 cos A.

sin a = 5/2 cos a

sin a / cos a = tan a = 5/2

jugoslav · Answer 2 · 2021-11-21T02:56:30

In right triangle ABC with B = 90 , we have 2 sin A = 5 cos A. What is tan A?

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2(sinA) = 5(cosA)

sinA = 2.5(cosA)

We know that (sinA)² + (cosA)² = 1

x² + (x / 2.5)² = 1

x = 0.92847669 (x = sinA)

cosA = x / 2.5 = 0.371390676

Angle A = 68.19859051º

tanA = sinA / cosA