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How do you simplify the expression 1/tanx?
Solution:
We can use the trigonometric ratio to simplify the given expression.
The expression 1/tanx can be simplified as cot x.
In a right-angle triangle, the tangent of an angle x is the length of the opposite side divided by the length of the adjacent side.
Let us proceed step by step.
The formula of tan x is (length of the opposite side/length of the adjacent side).
We can also write tan x as sin x / cos x.
Simplifying 1/ tan x as
=> 1/ [ sin x / cos x]
=> cos x / sin x
=> according to the trigonometric ratio cos x /sin x can be written as cot x.
So, the simplification of expression 1/tan x is cot x.
How do you simplify the expression 1/tanx?
Summary:
The expression 1/tanx can be simplified as cot x.
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