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3 years ago

The short hand for the tangent is

Mathematics

1 answer:

lana [24]3 years ago

8 0

Answer:

Tangent (function) more ... In a right angled triangle, the tangent of an angle is: The length of the side opposite the angle divided by the length of the adjacent side. The abbreviation is tan.

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Now, you will use the inverse trig function to solve. Round to the nearest whole number. x= ∘ What trig function would we use to

konstantin123 [22]

Answer:

1. Cosine

2. x = 49°

3. Sine

4. y = 41°

Step-by-step explanation:

1. The trig function that will be used to solve for x is cosine.

2. Determination of angle x

x° =..?

Adjacent = 13

Hypothenus = 20

Cos x = Adjacent /Hypothenus

Cos x = 13/20

Take the inverse of Cos

x = Cos¯¹ (13/20)

x = 49°

3. The trig function that will be used to solve for y is sine.

4. Determination of angle y.

y° =..?

Opposite = 13

Hypothenus = 20

Sine y = Opposite /Hypothenus

Sine y = 13/20

Take the inverse of Sine

y = Sine¯¹ (13/20)

y = 41°

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3 years ago

Identify each expression that represents the slope of a tangent to the curve y = 1/x+1 at any point (x,y)

a_sh-v [17]

The expressions that represent the slope of a tangent to the curve $y = \frac{1}{x+1}$ are $m = \lim_{h \to 0}\frac{\frac{1}{x + h + 1} - \frac{1}{x + 1} }{h}$ and $m = -\frac{1}{(x + 1)^{2}}$ , respectively.

<h3>How to find an expression for the slope at any point of a function</h3>

The slope at any point of the function can be found by definition of derivative following <em>algebraic</em> handling:

$m = \lim_{h \to 0}\frac{\frac{1}{x + h + 1} - \frac{1}{x + 1} }{h}$

$m = \lim_{h \to 0} \frac{\frac{x+1 - x - h - 1}{(x + h + 1)\cdot (x + 1)} }{h}$

$m = -\lim_{h\to 0} \frac{1}{(x + h + 1)\cdot (x + 1)}$

$m = -\frac{1}{(x + 1)^{2}}$

Thus, the expressions that represent the slope of a tangent to the curve $y = \frac{1}{x+1}$ are $m = \lim_{h \to 0}\frac{\frac{1}{x + h + 1} - \frac{1}{x + 1} }{h}$ and $m = -\frac{1}{(x + 1)^{2}}$ , respectively.

To learn more on differentiation: brainly.com/question/18962394

#SPJ1

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