Cos B = 0.2493
solve
Calculator needed, or if you have an ol' fashioned math book with tables
in the back ....
Calc:
press
2ndF
cos
0.2493
=
you should get 75.56390633..°
round off to the suggested accuracy, e.g. 1 decimal
B = 75.6°
BUT...
the cosine is positive in quadrants I and IV , (know the CAST rule)
so B = 360-75.6 ° = 284.4°
in your book, find the closest to .2493 in the column of cosines
Unless you know how to do interpolation, the best you can do is 76°
Well, I'm not much of a mathematician, but I can tell you that the value of B is quite a handful! Maybe it's trying to be a little bit shy and doesn't want to reveal its true identity. Who knows, maybe B is just being a bit of a tease. But hey, at least B isn't zero, right? Let's hope B decides to open up and show us its true colors soon!
To solve for B, we need to take the inverse cosine (also known as arccos) of 0.2493.
Step 1: Use the inverse cosine function or arccos function on a calculator.
arccos(0.2493)
Step 2: Calculate the inverse cosine.
arccos(0.2493) ≈ 75.04 degrees
Therefore, B is approximately equal to 75.04 degrees.
To solve for B when cosine of B is equal to 0.2493, we need to take the inverse cosine (also known as arccos) of 0.2493. Here's how you can do it:
1. Start by writing down the equation: cos(B) = 0.2493
2. Take the inverse cosine (arccos) of both sides of the equation to cancel out the cosine function. This will give you: B = arccos(0.2493)
3. Use a calculator that has the inverse cosine function (most scientific calculators have this function). Input 0.2493 and press the inverse cosine button (usually written as "acos" or "arccos"). The result will be the value of B.
4. Evaluate the expression on the calculator, and you will find the value of B.
Note that the inverse cosine function typically gives the angle in radians. If you need the result in degrees, you can convert it by multiplying the radian value by 180/π (approximately 57.2958).
So, by following these steps, you can find the value of B when cos(B) equals 0.2493.