If 0*<theta<360*, find all values of theta, 2sintheta = 5costheta?

1 Answer
Nghi N.
Jun 27, 2018

#68^@20, 248^@20#

Explanation:

#2sin theta - 5cos theta = 0#
Divide both sides by #cos theta#
Condition: #cos theta != 0, or theta != pi/2, and theta != (3pi)/2#
#2tan theta = 5#
#tan theta = 5/2#
Calculator and unit circle give 2 solutions for #theta#:
#theta = 68^@20#, and
#theta = 68.20 + 180 = 248^@20#

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