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Mathematics 15 Online
OpenStudy (susanna):

Can someone please check my answer.

OpenStudy (aihberkhan):

Your question please! :) @Susanna

OpenStudy (susanna):

\[(Given) \cos \Theta =\frac{ 3 }{ 7 } (and) 0\le \Theta \le \frac{ \pi }{ 2 } \] find sin theta and tan theta.

OpenStudy (er.mohd.amir):

use sin^2 x=1-cos^2x and tan x =sin x / cos x

OpenStudy (susanna):

my answer: \[\sin \theta = \frac{ \sqrt{40} }{ 7 }\]

OpenStudy (er.mohd.amir):

all values are +ve since angle lie in I quadrant.

OpenStudy (er.mohd.amir):

yes correct

OpenStudy (susanna):

\[\tan \theta = \frac{ \sqrt{40} }{ 3 }\]

OpenStudy (susanna):

is that correct?

OpenStudy (er.mohd.amir):

yes

OpenStudy (susanna):

thank you so much!

OpenStudy (er.mohd.amir):

welcome

OpenStudy (mathstudent55):

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OpenStudy (mathstudent55):

Once you see the triangle, it's easy to find sin theta and tan theta. You are correct. Good job!

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