SOLUTION: (csc(b)tan(b))/sec(b) : write as a single trigonometric fuunction

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Question 999093: (csc(b)tan(b))/sec(b) : write as a single trigonometric fuunction
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+%28csc%28b%29tan%28b%29%29%2Fsec%28b%29+......since csc%28b%29=1%2Fsin%28b%29, tan%28b%29=sin%28b%29%2Fcos%28b%29 and sec%28b%29=1%2Fcos%28b%29+, we have

=+%28%281%2Fsin%28b%29%29%28sin%28b%29%2Fcos%28b%29%29%29%2F%281%2Fcos%28b%29%29+

=

=+%281%2Fcos%28b%29%29%2F%281%2Fcos%28b%29%29+

=+cos%28b%29%2Fcos%28b%29+

=+1