Question #b41c3

1 Answer
Jim G.
Jul 14, 2017

#"see explanation"#

Explanation:

#"in the third quadrant all trig. ratios except tan/cot are"#
#"negative"#

#"given " cosx=-1/2" then"#

#•color(white)(x)secx=1/(cosx)=1/(-1/2)=-2#

#•color(white)(x)sinx=+-sqrt(1-cos^2x)#

#color(white)(xxxxxx)=+-sqrt(1-(-1/2)^2)#

#color(white)(xxxxxx)=+-sqrt(3/4)=+-sqrt3/2#

#• rArrsinx=-sqrt3/2#

#•color(white)(x)tanx=sinx/cosx=(-sqrt3/2)/(-1/2)=sqrt3#

#•color(white)(x)cotx=1/tanx=1/sqrt3#

#•color(white)(x)cscx=1/sinx=1/(-sqrt3/2)=-2/sqrt3#

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