document.write( "Question 614574: given sin theta =-1/2 and sec theta >0,find the exact value of tan 2theta \n" ); document.write( "

Algebra.Com's Answer #386664 by lwsshak3(11628) $\"\"$ $\"About$

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given sin theta =-1/2 and sec theta >0,find the exact value of tan 2theta
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\n" ); document.write( "sinx<0 and secx>0 only in quadrant IV
\n" ); document.write( "In quadrant IV:
\n" ); document.write( "tanx=-1/√3
\n" ); document.write( "Identity:
\n" ); document.write( "tan(2x)=(2tanx)/(1-tan^2x)
\n" ); document.write( "=(-2/√3)/1-(1/3)
\n" ); document.write( "=-2√3/2/3
\n" ); document.write( "=-6/2√3
\n" ); document.write( "=-√3*6/6
\n" ); document.write( "=√3\r
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