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ElenaW [278]
3 years ago
13

Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)

Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

Step-by-step explanation:

Consider LHS

\cos(x)  +  \sin(x)  \tan(x)  =  \sec(x)

Apply quotient identies

\cos(x)  +   \sin(x) \times  \frac{ \sin(x) }{ \cos(x) }  =  \sec(x)

Multiply the fraction and sine.

\cos(x)  +  \frac{ \sin {}^{2} (x) }{ \cos(x) }  =  \sec(x)

Make cos x a fraction with cos x as it denominator.

\cos(x)  \times  \cos(x)  =  \cos {}^{2} (x)

so

\frac{ \cos {}^{2} (x) }{ \cos(x) }  +  \frac{ \sin {}^{2} (x) }{ \cos(x) }  =  \sec(x)

Pythagorean Identity tells us sin squared and cos squared equals 1 so

\frac{1}{ \cos(x) }  =  \sec(x)

Apply reciprocal identity.

\sec(x)  =  \sec(x)

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Use the following ordered pairs
Lynna [10]

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

(x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})

Putting the values

=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

Learn more about coordinate geometry at:

  • brainly.com/question/2116906
  • brainly.com/question/2131336

#LearnwithBrainly

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3 years ago
30. What is the degree of the polynomial?
zheka24 [161]

Answer:

Step-by-step explanation:

30). 5^{th} degree ( 4 + 1 = <em>5</em> ; 1 + 1 = 2 and 2 + 2 = 4 )

31) D) Choice D

4 0
3 years ago
Find the value of "c" by completing the square.<br><br>h²- 16h + c​
Sunny_sXe [5.5K]

Answer:

c = 64

Step-by-step explanation:

(a-b)² = a² - 2ab + b²

h²- 16h + c​

So, 2ab = 16h

2 * h * b = 16h    {as a =h}

b= 16h / 2h

b = 8

c = b² = 8*8 = 64

3 0
3 years ago
A roofer sketches a diagram of a house on which he is working.
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Using the SSA formula:

X = SQRT ( 40^2 + 26^2 - 2*40*26*cos(65))

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X = SQRT(1396.954)

X = 37.37 = 37.4 ft.
4 0
4 years ago
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Equivalent expression to 3(4m-2)-2(m+5
wolverine [178]

Answer:

10m - 16

Step-by-step explanation:

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2.  Combine like terms:  We get 10m - 16

4 0
3 years ago
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