How do you find the solution to $3sintheta-sqrt3=sintheta$ if $0<=theta<2pi$ ?

Question

How do you find the solution to $3sintheta-sqrt3=sintheta$ if $0<=theta<2pi$ ?

1 Answer

Impact of this question

1872 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-18T03:55:48

$pi/3 ; (2pi)/3$

Explanation:

$3sin t - sqrt3 = sin t$
$3sin t - sin t = sqrt3$
$2sin t = sqrt3$
$sin t = sqrt3/2$
$sin t = sqrt3/2$ --> Trig Table gives --> $t = pi/3$
Unit circle gives another arc t that has the same sin value:
$t = (2pi)/3$
Answers for $(0, 2pi)$
$pi/3 ; (2pi)/3$

Science

Math

Humanities

... and beyond

How do you find the solution to $3sintheta-sqrt3=sintheta$ if $0<=theta<2pi$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you find the solution to 3sintheta-sqrt3=sintheta3sintheta-sqrt3=sintheta if 0<=theta<2pi0<=theta<2pi?

1 Answer

Explanation:

Related questions

Impact of this question

How do you find the solution to $3sintheta-sqrt3=sintheta$ if $0<=theta<2pi$ ?