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charle [14.2K]
3 years ago
12

Simplify ( 1 - cos0)( 1 + cos0) / ( 1 - sin0) ( 1 + sin0)

Mathematics
2 answers:
Leni [432]3 years ago
7 0
That zero with the line through it is theta I believe.
Use the FOIL method to multiply the numerator and denominator out. Then use your Trig Identities (probably in your course content or notes already but you can also google them) to see what it is equal to.
Ivan3 years ago
6 0

Step-by-step explanation:

Here, we need to simplify the following expression :

\dfrac{(1-cos\theta)(1+cos\theta)}{(1-sin\theta)(1+sin\theta)}

Using the identity as :

(a-b)(a+b)=a^2-b^2

\frac{1-cos^2\theta}{1+sin^2\theta}

Since, sin^2\theta+cos^2\theta=1

= \dfrac{sin^2\theta}{cos^2\theta}

Since, \dfrac{sin\theta}{cos\theta}=tan\theta

So, \dfrac{(1-cos\theta)(1+cos\theta)}{(1-sin\theta)(1+sin\theta)}=tan^2\theta    

So, the correct option is (c). Hence, this is the required solution.

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(3-p)^2<br> How to solve this steps
Zanzabum

Answer:

Look at the attachment

7 0
3 years ago
The length of a rectangle is 6 inches longer than it’s width what are the possible widths if the area of the rectangle is at lea
stealth61 [152]

Let the width = x

length = x + 6

(x + 6) * x = 667

Simplify

x² + 6 = 667

x² + 6 (-6) = 667 (-6)

x² = 661

√x² = √661

x = √661

x = 25.71 (rounded)

25.71 in. is your width

hope this helps

6 0
3 years ago
J. Reexamine the sequence 20, 14, 8, 2, ... from the problem
DENIUS [597]

Answer:

The n th of the given sequence is t_{n} = 26-6 n

Step-by-step explanation:

<u>Step 1</u> :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference isd = second term- first term = 14-20=-6

now the nth term of given sequence is

by using formula t_{n}=a+(n-1)d

t_{n}= 20+(n-1)(-6)

t_{n}= 20-6 n+6

final answer:-

t_{n} = 26-6 n

<u>verification</u>:-

t_{n} = 26-6 n

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

t_{n} = 26-6 n

3 0
3 years ago
The perimeter of a​ standard-sized rectangular rug is 4040 ft. the length is 22 ft longer than the width. find the dimensions.
Nataly_w [17]
L = w+22

2(l+w) = 4040
2(w+22+w) = 4040
2w + 22 = 4040/2 = 2020
2w = 2020-22 = 1998
w = 999ft

l = w+22 = 999+22 = 1021ft
w = 999 ft
3 0
3 years ago
How do you find the missing number of a perfect square trinomial?<br><br> 25x^2 - 60x + ___
Harrizon [31]

Answer:

  36

Step-by-step explanation:

Compare what you have to the square ...

  (a +b)^2 = a^2 +2ab +b^2

Your "a" is √(25x^2) = 5x

Your "2ab" is -60x. Since you know "a", you can find "b".

  2ab = -60x

  2(5x)b = -60x . . . . . . . substitute for "a"

  b = -60x/(10x) = -6

Then the missing term is b^2 = (-6)^2 = 36.

Your trinomial is ...

  25x^2 -60x +<u>36</u>

4 0
3 years ago
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