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([itex]\pi/4[/itex]) 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([itex]\pi/4[/itex])?and tan ( pi/4 -x) = 1 - tan x
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1 + tan x
The formula for the tangent of an angle is defined as the ratio of the length of the opposite side to the adjacent side of a right triangle.
The tangent can be calculated by dividing the sine of the angle by the cosine of the angle: tan(θ) = sin(θ) / cos(θ). Alternatively, it can also be calculated by using the inverse tangent function: tan(θ) = tan^-1 (opposite/adjacent).
The tangent function has a range of all real numbers, except at certain values where the denominator (cosine) is equal to 0, resulting in undefined values.
The tangent formula is commonly used in fields such as physics, engineering, and astronomy to calculate angles and distances. It is also useful in navigation, surveying, and computer graphics.
One way to remember the tangent formula is by using the acronym "SOH-CAH-TOA", which stands for "Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, Tangent equals Opposite over Adjacent". You can also practice using the formula in various practice problems to help reinforce your memory.