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Find the acute angle formed by line 2y=x+1​

User Audri
by
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1 Answer

6 votes

Answer:

26.57°

Explanation:


2y = x + 1 \\ y = (1)/(2) x + 1 \\ equating \: it \: with \\ y = mx + b \\ slope \: m = (1)/(2) \\ \because \: \tan \theta = m \\ \therefore \: \tan \theta = (1)/(2) = 0.5 \\ \therefore \: \theta = {tan}^( - 1) (0.5) \\\therefore \: \theta = {tan}^( - 1) ( \tan \: 26.565051177 \degree) \: \\ \\ \huge \red{ \boxed{\therefore \: \theta = 26.57 \degree}}

User Augustus
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