SOLUTION: 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(the

Algebra ->  Trigonometry-basics -> SOLUTION: 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(the      Log On


   

Question 691783: Please help me prove these following identities with explanation, thanks <3
1.) +csc%5E2%28theta%29+-+csc%5E2%28theta%29+cos%5E2%28theta%29+=+1+
2.) +sin%28theta%29+%2F+cos%28theta%29+%2B+cos%28theta%29+=+sec%28theta%29+
3.) +tan%5E2%28theta%29+%2F+%281+%2B+sec%28theta%29%29+%2B+1+=+sec%28theta%29+
4.) +2cos%5E2%28theta%29+-+1+=+1+-+2sin%5E2%28theta%29+
5.) +tan%5E2%28theta%29+=+%281%2Btan%5E2%28theta%29%29+%281-cos%5E2%28theta%29%29+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me prove these following identities with explanation, thanks <3
1.) +csc%5E2%28theta%29+-+csc%5E2%28theta%29+cos%5E2%28theta%29+=+1+
2.) +sin%28theta%29+%2F+cos%28theta%29+%2B+cos%28theta%29+=+sec%28theta%29+
3.) +tan%5E2%28theta%29+%2F+%281+%2B+sec%28theta%29%29+%2B+1+=+sec%28theta%29+
4.) +2cos%5E2%28theta%29+-+1+=+1+-+2sin%5E2%28theta%29+
5.) +tan%5E2%28theta%29+=+%281%2Btan%5E2%28theta%29%29+%281-cos%5E2%28theta%29%29+
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That's a lot of problems.
Convert everything to sines and cosines, see what you can do.
email via the Thank You note if you need further assistance.