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tangare [24]
3 years ago
7

Simplify - tanx-(sec^2 / tanx)

Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

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

---------------------------

tan x

We know than sec^2 - tan^2 =1  (trig identity)  so factor out -1

-1(-tan ^2 x + sec ^2 x)

---------------------------

tan x

-1(1)

---------------------------

tan x

-1

----------

tan (x)

We know  1/ tan x = cot (x)

- cot(x)

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