You can put this solution on YOUR website! cotx/cscx + 1/cosx
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To unravel trig identities it is often helpful
to change the problem to sines and cosines.
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Your Problem:
[cos/sin]/[1/sin] + 1/cos
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Invert and multiply to get:
[cos/sin] + 1/cos
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Cancel the sin which is common to a numerator and a denominator to get:
cos + 1/cos
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(cos^2+1)/cos
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I'm not sure how much further you want to go with
this. It never gets down to just a number.
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cheers,
Stan H.