Answer:
-cot(x)
Step-by-step explanation:
tanx-(sec^2x / tanx)
Lets get a common denominator of tan
tan x * tan x/ tan -sec ^2 x/ tan x
tan ^2 x - sec ^2 x
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tan x
We know than sec^2 - tan^2 =1 (trig identity) so factor out -1
-1(-tan ^2 x + sec ^2 x)
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tan x
-1(1)
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tan x
-1
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tan (x)
We know 1/ tan x = cot (x)
- cot(x)
Factor the following:
5 x^2 + 20 x + 15
Factor 5 out of 5 x^2 + 20 x + 15:
5 (x^2 + 4 x + 3)
The factors of 3 that sum to 4 are 3 and 1. So, x^2 + 4 x + 3 = (x + 3) (x + 1):
Answer: 5 (x + 3) (x + 1)
I did this test and failed. But when I reviewed it showed me the right answers... so here is the answer: C. There is no solution.
