Question

Solve for 0-360 degrees.

Answer 1

Answer:

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.

Step-by-step 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!

Answer 2

Answer:

x=0°   ,  180°  

Step-by-step 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°