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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.
Wiki User
∙ 9y ago
Wiki User
∙ 9y agoTo 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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