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3 years ago

-3 3/7 x 3/8. Explain step by step.

Mathematics

1 answer:

Alinara [238K]3 years ago

7 0

1.28571428571 this is the answer thank you please give me 5 stars.plis

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If sinx = p and cosx = 4, work out the following forms :<br><br><br>

Kay [80]

Answer:

$\frac{p^2 - 16} {4p^2 + 16}$

Step-by-step explanation:

I will work with radians.

$\frac {\cos^2 \left(\frac{\pi}{2}-x \right)+\sin(-x)-\sin^2 \left(\frac{\pi}{2}-x \right)+\cos \left(\frac{\pi}{2}-x \right)} {[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)]}$

First, I will deal with the numerator

$\cos^2 \left(\frac{\pi}{2}-x \right)+\sin(-x)-\sin^2 \left(\frac{\pi}{2}-x \right)+\cos \left(\frac{\pi}{2}-x \right)$

Consider the following trigonometric identities:

$\boxed{\cos\left(\frac{\pi}{2}-x \right)=\sin(x)}$

$\boxed{\sin\left(\frac{\pi}{2}-x \right)=\cos(x)}$

$\boxed{\sin(-x)=-\sin(x)}$

$\boxed{\cos(-x)=\cos(x)}$

Therefore, the numerator will be

$\sin^2(x)-\sin(x)-\cos^2(x)+\sin(x) \implies \sin^2(x)- \cos^2(x)$

Once

$\sin(x)=p$

$\cos(x)=4$

$\sin^2(x)-\cos^2(x) \implies p^2-4^2 \implies \boxed{p^2-16}$

Now let's deal with the numerator

$[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)]$

Using the sum and difference identities:

$\boxed{\sin(a \pm b)=\sin(a) \cos(b) \pm \cos(a)\sin(b)}$

$\boxed{\cos(a \pm b)=\cos(a) \cos(b) \mp \sin(a)\sin(b)}$

$\sin(\pi -x) = \sin(x)$

$\sin(2\pi +x)=\sin(x)$

$\cos(2\pi-x)=\cos(x)$

Therefore,

$[\sin(\pi -x)+\cos(-x)] \cdot [\sin(2\pi +x)\cos(2\pi-x)] \implies [\sin(x)+\cos(x)] \cdot [\sin(x)\cos(x)]$

$\implies [p+4] \cdot [p \cdot 4]=4p^2+16p$

The final expression will be

$\frac{p^2 - 16} {4p^2 + 16}$

8 0

3 years ago

I will give you BRAINLIEST for the correct answr

posledela

Answer:

C I think

Step-by-step explanation:

Sorry if it's wrong

3 0

3 years ago

Read 2 more answers

some one help plzzzz plz find y intercept and slope I will give brainliest if you give me all the answer for each table

worty [1.4K]

Answer:

1. slope = 4 intercept = -2

2. slope = 2/3 intercept = -4

3. slope = -1 intercept = 13

Step-by-step explanation:

6 0

3 years ago

Add. (6x^2-2x)+(5x-7)

dolphi86 [110]

Answer:

6x^2 + 3x - 7

Step-by-step explanation:

6x^2 - 2x + 5x -7
6x^2 + 3x -7

it's easy..

8 0

3 years ago

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What is the range of the data below? 45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51

belka [17]

Range is the greatest number minus the smallest number

The greatest number is 67
The least number is 19

67 - 19 = 48

48 is your range

hope this helps

6 0

3 years ago

Read 2 more answers