Question 691783
Please help me prove these following identities with explanation, thanks <3

1.) {{{ csc^2(theta) - csc^2(theta) cos^2(theta) = 1 }}}

2.) {{{ sin(theta) / cos(theta) + cos(theta) = sec(theta) }}}

3.) {{{ tan^2(theta) / (1 + sec(theta)) + 1 = sec(theta) }}}

4.) {{{ 2cos^2(theta) - 1 = 1 - 2sin^2(theta) }}}

5.) {{{ tan^2(theta) = (1+tan^2(theta)) (1-cos^2(theta)) }}}
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That's a lot of problems.
Convert everything to sines and cosines, see what you can do.
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