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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