Question

Do questions b, c and e and show all your work (all of it)

Answer 1

Those are too many questions because each answer is very long.

I will do b for you and that should help you to figure out how to do the others.

b) 1 - cos(2x)
----------------- = tan(x)
sin(2x)

1 - [cos^2 (x) - sin^2 (x) ]
---------------------------------- = tan(x)
2 cos(x)(sin(x)

1 - cos^2(x) + sin^2(x)
----------------------------- = tan(x)
2cos(x)sin(x)

[1 - cos^2(x) ] + sin^2(x)
-------------------------------- = tan(x)
2cos(x)sin(x)

sin^2(x) + sin^2 (x)
-------------------------- = tan(x)
2cos(x)(sin(x)

2 sin^2 (x)
--------------------- = tan(x)
2 cos(x)sin(x)

sin(x)
----------- = tan(x)
cos(x)

tan(x) = tan(x)