SOLUTION: What is the simplified version of sinx + cosx • cotx

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Question 1081945: What is the simplified version of sinx + cosx • cotx
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given expression


Rewrite cotangent (cot) into cosine (cos) over sine (sin)


Rewrite the fist term into


Multiply the fractions


Multiply


Multiply the first term by (1)


Rewrite the into


Rewrite the fist term into


Multiply the fractions


Multiply


Add the fractions


Use the pythagorean trig identity


Use the reciprocal trig identity


"csc" is shorthand for "cosecant"


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In the end, simplifies to


Note: Here is a list of trig identities and other trig reference material.

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