The discussion focuses on solving trigonometric expressions involving tangent and cotangent, specifically the calculations for tan(11π/8) and cot(195°). It highlights the importance of using consistent units, as mixing radians and degrees can lead to confusion. Additionally, the discussion addresses the incorrect assertion that tan(x + y) equals tan(x) and emphasizes the correct formula for tan(π/4 - x). The use of LaTeX for clearer mathematical representation is also recommended.
PREREQUISITESStudents studying trigonometry, educators teaching mathematical concepts, and anyone looking to improve their understanding of trigonometric identities and equations.
It's really a very bad idea to mix radians and degrees which it looks like you are doing here. Do you know what tan(\pi/4) is? Do you know the "half angle" formula for tangent?quantumgenius said:using those formulas, how would you solve
tan 11 pi
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8
and cot 195
You wouldn't- it's not true!also, how would you prove tan (x +y ) = tan x
What is tan(x+ y)?? And what is tan(\pi/4)?and tan ( pi/4 -x) = 1 - tan x
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1 + tan x