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4 years ago

Simplify: (1− cos^2 x)·(1+ tan^2 x)

Mathematics

1 answer:

fgiga [73]4 years ago

3 0

Answer:(-cos²x+1)x(tan²x+1)

Step-by-step explanation:

(1-cos²x)x(1+tan²x)

(-cos²x+1)x(tan²x+1)

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What are the solutions to the quadratic equation (5y+6)2=24

yulyashka [42]

The value of y is, $y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}$

We have given that,

$\left(5y+6\right)^2=24$

We have to determine the value of y,

<h3>What is the formula for the quadratic equation?</h3>

$\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

Therefore,we get

$5y+6=\sqrt{24}$

$5y+6=2\sqrt{6}$

$\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}$

$5y+6-6=2\sqrt{6}-6$

$5y=2\sqrt{6}-6$

$\frac{5y}{5}=\frac{2\sqrt{6}}{5}-\frac{6}{5}$

$y=\frac{2\sqrt{6}-6}{5}$

$y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}$

Therefore the value of y is,

$y=\frac{2\sqrt{6}-6}{5},\:y=\frac{-2\sqrt{6}-6}{5}$

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ1

5 0

2 years ago

If f(8) =4, identify a point on the graph of f

il63 [147K]

If f(8)=4 that means that if you plug 8 on as x in whatever the equation of f is you will get 4 as answer therefore (8,4) is a point on the graph

4 0

3 years ago

PLLLZZ HHEELLPPP! QUESTION IS BELOW!

Lubov Fominskaja [6]

Answer:

32°

Step-by-step explanation:

The two given angles are complementary, it means they add to 90°

2x + 10 + x + 8 = 90
3x + 18 = 90
3x = 72
x = 24

m∠Y = x + 8 = 24 + 8 = 32°

3 0

3 years ago

The number of cows in a farm was 60% of the number of the goats. After 80 goats were taken out of the farm, the number of goats

Eva8 [605]

Before:
The number of goats =60%
The number of cows = 100%

Using ratio
Cows : Goats
60 : 100 reduced to simplest term

C:G
3:5

After
The number of cows = 100%
The number of goats = 60%

Using ratio

C:G
100:60 reduced to simplest term
C:G
5:3

Number of cows remained constant. Therefore find the common multiple.

Before
C:G
15:25

After
C:G
15:9

Find the difference in the units of goats

(a)25 - 19= 16
16 units =80
1 unit = 5
15 units (cows) = 5 x 15 = 75
There were 75 cows.

(B)
Number of goats at first
25 units = 5 x 25 = 125
Therefore percentage= 80/125 x 100
= 64%

5 0

3 years ago

What is the correct vertex for the function f(x)=x2-x+2

nadya68 [22]

Answer:

(1/2,7/4)

Step-by-step explanation:

x=-b/2a

x=1/2

y=(1/2)^2-(1/2)+2

y=1/4-2/4+8/4

y=7/4

5 0

3 years ago