How do you graph $g (t) = 2 cot 2 t$ $g(t)=2cot2t$ and include two full periods?

Question

How do you graph $g (t) = 2 cot 2 t$ $g(t)=2cot2t$ and include two full periods?

1 Answer

Impact of this question

1680 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-08-02T08:31:50

See graph and details.

Explanation:

$g (t) = 2 cot 2 t = 2 \frac{cos 2 t}{sin 2 t}$ $g( t ) = 2 cot 2t = 2 ( cos 2t)/(sin 2t)$

$2 t \neq$ $2t ne$ any zero fo the denominator $sin 2 t$ $sin 2t$

$\Rightarrow$ $rArr$ asymptotic $t \neq$ $t ne$ asymptotic

$k ( pi /2 ), k = 0, +-1, +-2, +-3, ...$ .

Period = common period of $sin 2t and cos 2t =(2pi)/2 = pi$ .

See graph, depicting these aspects, for twp periods,

$t in [ - pi, pi ]$ , sans asymptotic $t = +- pi/2$ , in between..
graph{(y sin( 2x) - 2 cos (2x) )(x-1/2pi +0.0001y)(x+1/2pi +0.0001y)(x-pi +0.0001y)(x+pi +0.0001y)=0[-3.4 3.4 -7 7]}

The graph is not to uniform scale.

Science

Math

Humanities

... and beyond

How do you graph $g (t) = 2 cot 2 t$ $g(t)=2cot2t$ and include two full periods?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you graph g(t)=2cot2tg(t)=2cot2tg(t)=2cot2t and include two full periods?

1 Answer

Explanation:

Related questions

Impact of this question

How do you graph $g (t) = 2 cot 2 t$ $g(t)=2cot2t$ and include two full periods?