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ohaa [14]
3 years ago
14

How do you simplify this?

Mathematics
1 answer:
levacccp [35]3 years ago
4 0

Answer:

tan x

Step-by-step explanation:

(tan-x)[sec(pi/2)-x] (sin-x)

We know that tan (-x) = - tan (x)  and sin (-x) = - sin (x)

-(tanx)[sec(pi/2)-x] -(sinx)

(tanx)[sec(pi/2)-x] (sinx)

Using the identity sec = 1/ cos

sec ( pi/2 -x) =1/cos ( pi /2 -x)

We know that cos (s-t)=cos (s) cos(t) + sin (s) sin (t)

1/ ( cos  pi/2  cos x + sin pi/2 sin x) = 1/(0 cos x - 1 sinx) = 1 / sinx

Replacing into the equation

(tanx)[1/ sinx] (sinx)

tan x

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1. The perimeter of a piece of paper is 18 cm.
OlgaM077 [116]

Answer:

a) length = 3 and width = 6

Area of the rectangle = 3 × 6 = 18 cm²

b)  length = 7 and width = 2

Area of the rectangle = 7 × 2 = 14 cm²

c)  length = 5 and width = 4

Area of the rectangle = 5× 4 = 20 cm²

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given perimeter of the paper = 18 cm

we know that the paper has a rectangle shape

The perimeter of the rectangle = 18 cm

 2( l + w ) = 18

a)

we choose length = 3 and width = 6

The perimeter of the rectangle = 2( 3+6) = 18 cm

Area of the rectangle = 3 × 6 = 18 cm²

b)

we choose length = 7 and width = 2

The perimeter of the rectangle = 2( 7+2) = 18 cm

Area of the rectangle = 7 × 2 = 14 cm²

c)

we choose length = 5 and width = 4

The perimeter of the rectangle = 2( 5+4) = 18 cm

Area of the rectangle = 5× 4 = 20 cm²

3 0
3 years ago
What is the equation of the quadratic graph with a focus of (8, −8) and a directrix of y = −6?
yarga [219]
The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
               (h,k)

P is the distance between the vertex and either the directrix or focus,  in this case p = 1. 

a = 1/(4p)  or 1/(4*1) or 1/4

write the equation in vertex form

y = a(x-h)^2 + k

y = 1/4(x-8)^2 -7
4 0
3 years ago
How many solutions does the equation below have? 1/(-6-8x) = -3- 1x​
uranmaximum [27]

Answer:

This equation has 2 solutions.

1. x=\frac{-15+\sqrt{89}}{8}

2. x=-\frac{15+\sqrt{89}}{8}

5 0
2 years ago
the radius of a circle is 5 meter what is the area,in square meter,of circle? Round to the nearest tenth
Slav-nsk [51]

Answer:

78.54 rounded to the tenths it is 78.5

Step-by-step explanation:

I did the math. And I did my work like this

5*5=25

25*pi=78.5398163

Rounded to hundredths 78.54

Rounded to tenths 78.5 Hope this helps, let me know if correct, and have a great day!!

6 0
2 years ago
Read 2 more answers
Plot 9/10 and 1 2/5 on the number line below​
HACTEHA [7]
First one is 9/10 second is 1 2/5

6 0
3 years ago
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