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3 years ago

Sadie hiked 37.6km. Sam hiked 0.4 as far. how much farther than Sam did Sadie hike

Mathematics

1 answer:

sukhopar [10]3 years ago

3 0

To work it out just do 37.6 - 0.4

Answer: 37.2km

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Use the identity tan(theta) = sin(theta) / cos(theta) to show that tan(???? + ????) = tan(????)+tan(????) / 1−tan(????) tan(????

VMariaS [17]

Answer:

See the proof below.

Step-by-step explanation:

For this case we need to proof the following indentity:

$tan(x+y) = \frac{tan (x) + tan(y)}{1- tan(x) tan(y)}$

So we need to begin with the definition of tangent, we know that $tan (x) =\frac{sin(x)}{cos(x)}$ and we can do this:

$tan (x+y) = \frac{sin (x+y)}{cos(x+y)}$ (1)

We also have the following identities:

$sin (a+b) = sin (a) cos(b) + sin (b) cos(a)$

$cos(a+b)= cos(a) cos(b) - sin(a) sin(b)$

Now we can apply those identities into equation (1) like this:

$tan (x+y) =\frac{sin (x) cos(y) + sin (y) cos(x)}{cos(x) cos(y) - sin(x) sin(y)}$ (2)

We can divide numerator and denominator from expression (2) by $\frac{1}{cos(x) cos(y)}$ we got this:

$tan (x+y) = \frac{\frac{sin (x) cos(y)}{cos (x) cos(y)} + \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{cos(x) cos(y)}{cos(x) cos(y)} -\frac{sin(x)sin(y)}{cos(x) cos(y)}}$

And simplifying we got:

$tan (x+y) = \frac{tan(x) + tan(y)}{1-tan(x) tan(y)}$

And that complete the proof.

8 0

3 years ago

Which of the following could be an example of a function with a domain [a, infinity) and a range [b, infinity) where a >0 and

Semmy [17]

[a, infinity) and a range<span />

6 0

3 years ago

Read 2 more answers

Solve for x, and JUSTIFY your answer.

arsen [322]

Answer:

Step-by-step explanation:

I don't really know how to explain it but I'll try my best

Visualize line AB extending past point A (like it does at point B)

You'll see that 180 ( line AB ) minus 129 is 51

Angle 51 is vertical to the other angle inside the triangle that is unnamed.

Now you have 2 angles.

180-45-51=84

5 0

2 years ago

0 points<br> 6a – 14a2 + 8a + 1 by a - 2

Mekhanik [1.2K]

Answer:

-14a -14- 27/a-2 hope this helps

Step-by-step explanation:

6 0

3 years ago

The number 0.8 can be written as 8/9, so it is a irrational number true or false

lesya692 [45]

False//////////////////////////////////////////////////////////////////////////

5 0

2 years ago