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Ilya [14]
3 years ago
15

Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x

Mathematics
1 answer:
KIM [24]3 years ago
4 0

Answer:

Step-by-step explanation:

sin (\frac{\pi}{2} - x) = cos x \\\\ sin (a - b) = sin a.cos b - sin b.cos a \\\\ sin (\frac{\pi}{2} - x) = sin \frac{\pi}{2}.cos x - sin x.cos \frac{\pi}{2} \\\\ sin \frac{\pi}{2} = 1; cos \frac{\pi}{2} = 0 \\\\ sin (\frac{\pi}{2} - x) = 1.cos x - sin x.0 \\\\ sin (\frac{\pi}{2} - x) = cos x

I hope I helped you.

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What is the volume of a cube whose side length is 1.8 meters?
Natalija [7]

Answer:

5.83

Step-by-step explanation:

You find volume of a cube by its side length cubed. (a^3). so 1.8 to the power of three is 5.83

4 0
3 years ago
Simplify this exponential expression:<br><br> (-49) 2/5<br><br> I give Brainliest
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Step-by-step explanation:

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A top speed a coyote can run at a speed of 44 miles per mile if a coyote could maintain its topp speed how far could it run in 1
Katyanochek1 [597]
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3 years ago
Which is greater -3 or -1/3 ?​
GenaCL600 [577]

Answer:

<u>-1/3</u>

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
10 3/9- 10 2/5 Im to lazy to do it please help me out.
coldgirl [10]

Answer:

\boxed{ \ -  \frac{3}{45} }

Step-by-step explanation:

10 3/9 - 10 2/5

we need to convert mixed fractions to improper fractions

10 \frac{3}{9}  =  \frac{10 \times 9 + 3}{9}  =  \frac{93}{9}

10 \frac{2}{5}  =  \frac{10 \times 5 + 2}{5}  =  \frac{52}{5}

Now, we have 93/9 - 52/5

We need to equate the denominators, before subtracting them.

\frac{93}{9}  -  \frac{52}{5}  =  \frac{93 \times 5}{45}  -  \frac{52 \times 9}{45}

\frac{465}{45}  -  \frac{468}{45}

\frac{ - 3}{45}

\boxed{ -  \frac{3}{45} }

The result of 10 3/9- 10 2/5 is - 3/45

8 0
2 years ago
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