Question 362285
 Simplify the following trig expressions: 
1. {cos(x)/1+sin(x)} + tan(X)
---
cos/(1+sin) + sin/cos
----
lcd = cos(1+sin)
----
= cos^2/lcd + sin(1+sin)/lcd
---
= [cos^2 + sin + sin^2]/lcd
---
= (1+sin]/[cos(1+sin)]
= 1/cos
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2. [sec(x) + csc(x)]/ [1+tan(x)]
------
[1/cos + 1/sin ]/[1+sin/cos]
(sin+cos)/(sin*cos)] / (cos+sin)/cos]
----
(sin+cos)/(sin*cos)] *[cos/(cos+sin)]
---
1/sin
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3. [sin(x)+tan(x)]/ {(tan(x)(csc(x) +cot(x)}
Change all terms to sines and cosines and see
if you can simplify.
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Cheers,
Stan H.