What is $(costheta)/3$ in terms of $tantheta$ ?

Question

What is $(costheta)/3$ in terms of $tantheta$ ?

1 Answer

Impact of this question

1884 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-28T22:26:07

$costheta/3=+-1/(3sqrt(tan^2theta+1)$

Explanation:

We know that $Sintheta/Costheta=Tantheta$
$impliesSin^2theta/cos^2theta=tan^2theta$
$impliescos^2theta=sin^2theta/tan^2theta$
Also $Sin^2theta=1-cos^2theta$

$implies cos^2theta=(1-cos^2theta)/tan^2theta$

$implies cos^2theta=1/tan^2theta-cos^2theta/tan^2theta$

$implies cos^2theta+cos^2theta/tan^2theta=1/tan^2theta$

$implies cos^2theta(1+1/tan^2theta)=1/tan^2theta$

$implies cos^2theta=(1/tan^2theta)/(1+1/tan^2theta)$

$implies cos^2theta=1/(tan^2theta+1)$

$implies costheta=+-sqrt(1/(tan^2theta+1))$

$implies costheta=+-1/sqrt(tan^2theta+1)$

$implies costheta/3=+-(1/sqrt(tan^2theta+1))/3$

$implies costheta/3=+-1/(3sqrt(tan^2theta+1)$

Science

Math

Humanities

... and beyond

What is $(costheta)/3$ in terms of $tantheta$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What is (costheta)/3(costheta)/3 in terms of tanthetatantheta?

1 Answer

Explanation:

Related questions

Impact of this question

What is $(costheta)/3$ in terms of $tantheta$ ?