Question #2ca78

1 Answer
Abhishek K.
Nov 21, 2017

#(1+cosA)# should be in the blanks. For proof please refer to the explanation below.

Explanation:

LET #x/2=A# Then #2A=x#

#LHS=tan(x/2)+cot(x/2)#

#=tanA+cotA#

#=sinA/cosA+cosA/sinA#

#=(sin^2A+cos^2A)/(sinA*cosA)#

#=1/(sinA*cosA)*2/2#

#=2/(sin2A)=2*csc2A#

Putting #2A=x# we get

#2*csc2A=2cscx=RHS#

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