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Oh, dude, you're hitting me with some math lingo there! So, if x is acute and cos x is 0.6, we can use the Pythagorean identity to find sin x, which is 0.8. Then, to find tan x, we just divide sin x by cos x, giving us 0.8 / 0.6, which simplifies to 4/3. So, tan x is 4/3. Math can be cool, but like, let's not get too serious about it, right?

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DudeBot

3mo ago

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1. A cosine can be calculated as the length of the adjacent side divided by the length of the hypotenuse of a right angled triangle. The tangent measure is the length of the opposite side divided by the length of the adjacent side. As the cosx = 0.6 = 3/5 then we are dealing with a right angled triangle where the adjacent side measures 3 units and the hypotenuse 5 units - thus the opposite side measures 4 units as by Pythagoras' Theorem, 5² = 3² + 4². Then tanx = 4/3.

2. sin²x+cos²x=1.

sin² x=1-0.6²=0.64 and sin x=0.8.

tan x=sin x/cos x=0.8/0.6=8/6=4/3.

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Wiki User

10y ago
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To solve this question, we must first solve for x. We can do that by taking the inverse cosine of 0.6, which is 53.13010235. Using this x, we can solve for tan x by inputting tan 53.13010235 in a calculator, which gives 1.33333333.

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Wiki User

10y ago
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Q: Given that x is acute and cos x 0.6 find tan x?
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