Please help me with this question's solution
Dear Student,
1+ tan2x= 1+sin2x/cos2x
Find common denominator which is cos2x
cos2x/cos2x + sin2x/cos2x
(cos2x + sin2x)/cos2x
1+cot2x = 1+ cos2x/sin2x
Common denominator is sin2x
sin2x/sin2x + cos2x/sin2x
( sin2x + cos2x)/sin2x
1/(cosx2+ sin2x)/cos2x + 1/( sin2x + cos2x)/sin2x
Multiply the numerator and denominator by the reciprocal of the bottom fractions to get
cos2x/(cosx2+ sin2x )+ sin2x/( cosx2+ sin2x)
Since they now have a common denominator you can add the tips
(cosx2+ sin2x)/(cosx2+ sin2x)
1/1 = 1
Regards