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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?
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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..
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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
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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