1/2 secx cscx ?

2 Answers
Ratnaker Mehta
Apr 18, 2018

#1/2*secx*cscx=1/2*1/cosx*1/sinx=1/(2sinxcosx)=1/(sin2x)=csc2x#.

mimi
Apr 18, 2018

#1/2cot(x)#

Explanation:

Recall that:
#sec(x)=1/cos(x)#
#csc(x)=1/sin(x)#
#cot(x)=cos(x)/sin(x)#

Substitute.
#1/(2sec(x))*csc(x)#
#1/(2(1/cos(x)))(1/sin(x))#
#cos(x)/2*1/sin(x)#
#cos(x)/(2sin(x))#
#1/2cot(x)#

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