+0

# How does sin(0.25) = (r)/(r + 384403)?

0
398
2

$$Sin 0.25 = {r \over r+384403}$$

That equals 1684.62, but how?

I've been stuck on it for an hour and just cannot figure it out

Guest Jun 20, 2017
#1
+93677
+2

Sin 0.25 = {r \over r+384403}

$$Sin( 0.25) = {r \over r+384403}\\ ( r+384403)Sin( 0.25) =r\\ rSin( 0.25) +384403Sin( 0.25) =r\\ 384403Sin( 0.25) =r-rSin( 0.25) \\ 384403Sin( 0.25) =r(1-Sin( 0.25)) \\ \frac{384403Sin( 0.25)}{(1-Sin( 0.25)) } =r\\ r=\frac{384403Sin( 0.25)}{(1-Sin( 0.25)) } \\$$

(384403*sin(0.25))/(1-sin(0.25) = approx  126366.362

Which is different from your answer :)

Melody  Jun 20, 2017
#2
0

Note: Melody used "radians" for sin(.25). I used "degrees" to get the same answer that you have:

Solve for r:
0.00436331 = r/(r + 384403)

0.00436331 = r/(r + 384403) is equivalent to r/(r + 384403) = 0.00436331:
r/(r + 384403) = 0.00436331

Multiply both sides by r + 384403:
r = 0.00436331 (r + 384403)

Expand out terms of the right hand side:
r = 0.00436331 r + 1677.27

Subtract 0.00436331 r from both sides:
0.995637 r = 1677.27

Divide both sides by 0.995637:
Answer: | r = 1684.62

Guest Jun 20, 2017

### New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.