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Vanyuwa [196]
3 years ago
6

Verify the identity. cosine of x divided by quantity one plus sine of x plus quantity one plus sine of x divided by cosine of x

equals two times secant of x.
Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0
Cos(x)/(1+sin(x) + (1+sin(x))/cos(x)=

cos²(x)/cos(x)(1+sin(x)) + (1+sin(x))²/cos(x)(1+sin(x))=

cos²(x)+1+2sin(x)+sin²(x) /cos(x)(1+sin(x))=

2+2sin(x) / cos(x)(1+sin(x))=

2(1+sin(x)) / cos(x)(1+sin(x))=

2/cos(x)=

2*sec(x)
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Fred drew 2/3 on a number line. Sara broke her number line into 6 equal pieces but found the same fraction on the number line as
Trava [24]

Answer:

4 / 6

Step-by-step explanation:

Fred fraction = 2/3

Sarah formed a fraction by dividing her number line into 6 equal pieces. This is given as;

x / 6

Since her fraction is equal to that of fred, we have;

x / 6 = 2 / 3

x = 6 * 2 / 3 = 4

Sarah Fraction = 4 / 6

7 0
3 years ago
If f(x) = x² – 5, evaluate: f(x+h)-f(x)/<br> h
Likurg_2 [28]

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>

In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:

f(x) = x² - 5                                         Given

f' = [(x + h)² - 5 - x² + 5] / h                Definition of derivative

(x² + 2 · x · h + h² - 5 - x² + 5) / h       Perfect square trinomial

(2 · x · h + h²) / h                                Associative, commutative and modulative properties / Existence of additive inverse

2 · x + h                                              Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse

2 · x                                                     h = 0 / Result

The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.

To learn more on derivatives: brainly.com/question/25324584

#SPJ1

6 0
2 years ago
Which equation represents the graphed function ?
goldenfox [79]

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 1)

m = \frac{1-3}{1-0} = - 2

note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = - 2x + 3  → A

8 0
3 years ago
Read 2 more answers
Does anyone Know what y = 1.6x + 48?
mel-nik [20]

Answer:

49.6 is what y is equal to

Step-by-step explanation

6 0
3 years ago
ILL GIVE YOU BRAINLIST !!!! What is the slope of this table?
VLD [36.1K]

Answer: Slope is m = 2/3

Step-by-step explanation:

-You have exactly four points on a table:

(3,2) (6,4) (9,6) (12,8)

-Use the slope formula and use any two points from those four points in order to find the slope:

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

-The two points I use are  (3, 2)  and (6,4 ) for the equation:

m = \frac{4 - 2}{6-3}

m= \frac{2}{3}

So, the slope of the table is \frac{2}{3}.

8 0
3 years ago
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