MATHEMATICS HIGH SCHOOL

Simplify for a lot of points
(1-sin^2x)(1-tan^2x)

Answers

Answer 1
Answer: 1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x

=1
this simplifies to 1.

Related Questions

On the graph of the equation 5x – 2y = 20, what is the value of the y-intercept?
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Multi Step Problem (Show work)
-k +4 - 5k = 1
​

Answers

Answer:

Subtract 5k from -k then you get

-6k + 4 =1

add 4 to both sides

-6k = -3

divide by -6 on both sides

k= -3/-6

simplify to get k= 1/2

Step-by-step explanation:

Answer:

k = 1/2

Step-by-step explanation:

-k - 5k = -6k

you minus 4 from each side

-6k = -3

you divide -6 from each side and you get-3/-6

which equals 1/2

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!What is the sum of the first 7 terms of the series − 3 + 6 − 12 + 24 −... ?

Answers

Answer:   -129

Step-by-step explanation:

Given the sequence {-3, 6, -12, 24, ... }, we can see that the first term (a) is -3 and the ratio (r) is (6)/(-3) = -2.  

Input those values into the Sum formula:

S_n=(a(1-r^n))/(1-r)\n\nS_7=(-3(1-(-2)^7))/(1-(-2))\n\n.\quad=(-3(1-(-128)))/(1+2)\n\n.\quad=(-3(1+128))/(3)\n\n.\quad=(-3(129))/(3)\n\n.\quad=-129

In order for two triangles to be similar, all corresponding pairs of angles must be __________.adjacent
congruent
proportional
supplementary

Answers

Supplementary idk if it’s this cuz I just started learning this and the teacher said all triangles equal 180 degrees so I hope this helped

The polynomial y = x2 + 6x + 9 has a repeated factor. (It may help to graph the equation.) A.True B.False

Answers

For the answer to the question above asking if it is true or false that The polynomial y = x2 + 6x + 9 has a repeated factor.
The answer to this question is true and that would be 3
(x+3)(x+3)
I hope my answer helped you.

Beth has 250 comic books in her collection She begins to sell 20 of them each week. Martin has 80 comic books in his collection. Hebegins buying 15 new comic books each week
Select from the choices below, dragging and dropping to build an inequality that could be used to determine when Martin's comic book
collection exceeds Beth's

Answers

Answer:

The answer to your question is  250 - 20 < 80 + 15x

Step-by-step explanation:

Data

Beth  has 250 books and sells 20 each week

Martin has 80 books and sells 15 each week

week = x

Process

1.- Write an equation for each situation

Beth         250 - 20x            

Martin       80 + 15 x

2.- Write the inequality

                   250 - 20 < 80 + 15x

A crane able can support a maximum load of 15,000 kg. If a bucket has a mass of2,000 kg and gravel has a mass of 1,500 kg for every cubic meter, how many cubicmeters of gravel can be safely lifted by the crane?

Answers

Let

x-------> amount of cubic meters of gravel that can be safely lifted by the crane

we know that

15,000=2,000+1,500*x

Solve for x

15,000=2,000+1,500*x\n1,500*x=15,000-2,000\n1,500*x=13,000\n x=(13,000/1,500)\nx=8.67\ m^(3)

therefore

the answer is

the amount of cubic meters of gravel that can be lifted safely by the crane cannot exceed 8.67\ m^(3)
Well so 15000-2000 leaves 13000kgs of available weight allowed. Then 13000 divided by 1500 we get around 8.67 cubicmeters of gravel to be allowed to be lifted safely.
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