The first trigonometric expression cot x and sin x in terms of the second expression is one over tan x and one over cosec x.
<h3>What is trigonometry?</h3>Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Write the first trigonometric expression in terms of the second expression.
The cotangent can be written as
And the sine can be written as
More about the trigonometry link is given below.
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Using the product rule, we have
so that
The equation of the tangent line to <em>W(x)</em> at <em>x</em> = 7 has all the information we need to determine <em>m'</em> (7).
When <em>x</em> = 7, the tangent line intersects with the graph of <em>W(x)</em>, and
<em>y</em> = 4.5 + 2 (7 - 7) ==> <em>y</em> = 4.5
means that this intersection occurs at the point (7, 4.5), and this in turn means <em>W</em> (7) = 4.5.
The slope of this tangent line is 2, so <em>W'</em> (7) = 2.
Then