Question

Solve for 0-360 degrees.

tan^2x= 0





Here’s all the points I got for this one.

Answer 1

x=0° , 180°

Explanation:

hello :

tan²x=0 ..tanx=0 all solution is :x=180k k in Z

for 0-360 degrees : 1) k=0 2 x=0° so: x=0°

2) k=1 2 x=180° so: x=180°

Answer 2

0 (or 360) and 180 degrees, or 0 and pi. Also, if you are counting all angles included, then the answer is 0, 180, and 360.

Explanation:

tan^2x=0

(tan x)(tan x)=0

If either tangent is 0, the whole expression will also be 0, so you can simplify this expression to simply:

tan x=0

Now, tangent is sin/cos, or on a unit circle the y coordinate value divided by the x coordinate value. If the x coordinate value is 0, then the expression will be undefined. Therefore, this expression is only true when y is 0 and x is not. y is 0 at 0 (or 360) degrees and 180 degrees, making those the only two spots where tanx=0. Hope this helps!