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Tasya [4]
3 years ago
13

Trigonometric identities: Performance task

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
4 0

Answer:

1) sin²x

2) 1

Step-by-step explanation:

1) (1+cos x)(1-cos x)

=> 1-cos²x

=> sin²x

2) 1/cot²x -1/cos²x

=> tan²x-sec²x

=> 1

MakcuM [25]3 years ago
3 0

#1

\\ \sf\longmapsto (1+cosx)(1-cosx)

\\ \sf\longmapsto 1-cos^2x

\\ \sf\longmapsto sin^2x

#2

\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}

\\ \sf\longmapsto tan^2x-sec^2x

\\ \sf\longmapsto 1

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99 point please help
____ [38]
It wants it to be in slope-intercept form.

y=mx+b

We have to first find the slope and plug it into point-slope form.

y-y1=m(x-x1)

Find the slope of the second line. (I did this one first on accident)

Rise/run= 3/1= 3 The slope is 3. Plug that in along with the point (0,3)

y-3=3(x-0)
y-3=3x

Add 3 to the other side.

y= 3x +3 <- <em>for the second line</em><em>
</em>
Now, the second.

rise/run= 1/2= .5 Use point (6,0)

y-0=.5(x-6)
y= .5x-3 

y=.5x-3 <- for the first line

I hope this helps!
~kaiker




4 0
2 years ago
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An item is regularly priced at $95 . it is on sale for 40% off the regular price. how much (in dollars) is discounted from the r
sergiy2304 [10]
95.00*40%=
Answer=$38.00
8 0
3 years ago
Solve the equation <br> 4b + 22 = 5(b + 4) − 1
djverab [1.8K]

4b + 22 = 5 (b + 4) - 1 (remove the parantheses)

4b + 22 = 5b + 20 - 1 (calculate)

4b + 22 = 5b + 19 (move the terms)

4b - 5b = 19 - 22 (collect like terms and calculate)

-b = -3 (change the signs)

<em>b = 3</em>

3 0
3 years ago
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Using algebra, find the point at which the line k(x) = 5x - 1 intersects with the line h(x) = -3x - 1 ?
vichka [17]

The point at which the lines k(x) = 5x - 1 and h(x) = -3x - 1 meet is (0, -1)

Given: k(x) = 5x - 1, h(x) = -3x - 1

We need to find the point(if any) at which these two lines k and h meets.

To find point of intersection(if any), we need to set the functions equal as at the point of intersection the (x, y) value will be same for both of the lines.

Therefore, k(x) = h(x)

=> 5x - 1 = -3x - 1

=> 8x = 0

=> x = 0

k(x=0) = 5 * 0  - 1 = -1

Hence the point at which the lines k(x) = 5x - 1 and h(x) = -3x - 1 meet is (0, -1)

Know more about "point of intersection" problems here: brainly.com/question/16929168

#SPJ1

8 0
1 year ago
Lydia drives from city a to city b to transport goods. her return speed is 3 times her departure speed and she takes 40 minutes
gizmo_the_mogwai [7]

Answer:

1 hour

Step-by-step explanation:

Hello, let's say that her departure trip takes t in minutes, as her return speed is 3 times her departure speed, she took t/3 for the return and we know that this 40 minutes less, so we can write.

t/3=t-40

We can multiply by 3

t = 3t -40*3 = 3t - 120

This is equivalent to

3t -120 = t

We subtract t

2t-120 = 0

2t = 120

We divide by 2

t = 120/2 = 60

So this is 60 minutes = 1 hour.

Thank you.

4 0
2 years ago
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