If $sin x = \frac{1}{4}$ $sinx=1/4$ and $tan x$ $tanx$ is positive, find $cos x$ $cosx$ ?

Question

If $sin x = \frac{1}{4}$ $sinx=1/4$ and $tan x$ $tanx$ is positive, find $cos x$ $cosx$ ?

1 Answer

Impact of this question

5250 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-01T08:20:26

$cos x = \frac{\sqrt{15}}{4}$ $cosx=sqrt15/4$

Explanation:

As $sin x$ $sinx$ and $tan x$ $tanx$ both are positive, $x$ $x$ lies in Quadrant 1 and $cos x = \frac{sin x}{tan x}$ $cosx=sinx/tanx$ too is positive.

Hence, $cos x = \sqrt{1 - {sin}^{2} x} = \sqrt{1 - {(\frac{1}{4})}^{2}} = - \sqrt{1 - \frac{1}{16}} = - \sqrt{\frac{15}{16}} = \frac{\sqrt{15}}{4}$ $cosx=sqrt(1-sin^2x)=sqrt(1-(1/4)^2)=-sqrt(1-1/16)=-sqrt(15/16)=sqrt15/4$

Science

Math

Humanities

... and beyond

If $sin x = \frac{1}{4}$ $sinx=1/4$ and $tan x$ $tanx$ is positive, find $cos x$ $cosx$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

If sinx=1/4sinx=14sinx=1/4 and tanxtanxtanx is positive, find cosxcosxcosx?

1 Answer

Explanation:

Related questions

Impact of this question

If $sin x = \frac{1}{4}$ $sinx=1/4$ and $tan x$ $tanx$ is positive, find $cos x$ $cosx$ ?