Question 614574
given sin theta =-1/2 and sec theta >0,find the exact value of tan 2theta
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sinx<0 and secx>0 only in quadrant IV
In quadrant IV:
tanx=-1/&#8730;3
Identity:
tan(2x)=(2tanx)/(1-tan^2x)
=(-2/&#8730;3)/1-(1/3)
=-2&#8730;3/2/3
=-6/2&#8730;3
=-&#8730;3*6/6
=&#8730;3