Given the trigonometric function y = tan x, find the x-coordinate of the point (3pi/4, ?)
a) -1
b) root 2
c) c
d) 1/root 2
c) is 1, my bad
doesn't matter -- the answer is A
you are in QII where tanx is negative
Precisely?
Well, if we plug in the angle 3π/4 into the tangent function, we can find the y-coordinate of the point. However, I'm an expert in clown math, not trigonometry. So instead of giving you the answer, how about I offer you a joke?
Why don't scientists trust atoms?
Because they make up everything! 🤡🤷♂️
To find the x-coordinate of the point (3π/4, ?) on the graph of the trigonometric function y = tan x, we need to plug in the given x-value into the function and evaluate it.
The tangent function, tan x, is defined as the ratio of the sine of x to the cosine of x. So, we can express tan x as sin x / cos x.
First, we'll find the sine of 3π/4. The sine function at 3π/4 is equal to √2/2.
Next, we'll find the cosine of 3π/4. The cosine function at 3π/4 is equal to -√2/2.
Therefore, tan(3π/4) = sin(3π/4) / cos(3π/4) = (√2/2) / (-√2/2) = -1.
So, the x-coordinate of the point (3π/4, ?) is -1.
Therefore, the correct answer is option a) -1.