Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (help!!!!):

Quick Question!

OpenStudy (help!!!!):

Which of the following is equal to tan theta cos theta when sin theta =2/3 and 0< theta< pi/2?

OpenStudy (er.mohd.amir):

tan a=2/\[\sqrt{5}\]

OpenStudy (help!!!!):

Which of the following is equal to \[\tan \theta \cos \theta \] when \[\sin \theta=2/3 \] and \[0<\theta<\pi/2\] F. 2/3 G. \[\frac{ 2\sqrt{5} }{ 9 }\] H. \[\frac{ \sqrt{5} }{ 3 }\] J. \[\frac{ 2\sqrt{5} }{ 5 }\] K. 1

OpenStudy (help!!!!):

The answer is F, but why?

OpenStudy (help!!!!):

How would I use it?

OpenStudy (er.mohd.amir):

tan a* cos a=sin a/cos a * cos a =sin a

OpenStudy (er.mohd.amir):

use this its easy

OpenStudy (er.mohd.amir):

since tan a=sin a / cos a

OpenStudy (er.mohd.amir):

got it

OpenStudy (help!!!!):

hmm I'm confused..

OpenStudy (er.mohd.amir):

break tan into sin and cos and put in

OpenStudy (help!!!!):

Yup I understand that but I don't know what to put in my calculator

OpenStudy (help!!!!):

Sorry I'm new to this

OpenStudy (er.mohd.amir):

no need to use calculator

OpenStudy (help!!!!):

Wait! I got it

OpenStudy (help!!!!):

Also, are there any other rules I should know besides tan a = sin a/cos a ?

OpenStudy (er.mohd.amir):

cot a= cos a/ sin a sin a=1/cosec a cos a =1/sec a

OpenStudy (er.mohd.amir):

tan a=1/cot a

OpenStudy (help!!!!):

Thanks!!!

OpenStudy (help!!!!):

Also what are the main ones I should memorize? @Er.Mohd.AMIR

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!