Pi/4 radians
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
sqrt(2) = 1/x
x*sqrt(2) = 1
x = 1/sqrt(2)
Let's multiply both numerator and denominator by sqrt(2), so
x = sqrt(2)/2
And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
45 * (2*pi)/360 = 90*pi/360 = pi/4
So your answer is pi/4 radians.
Answer: I think the answer might be the first option
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Given:
18m + 42n
These two variables are not the same, so we can't add the two terms. However, we can factor out a number out of this expression.
The GCF of 18 and 42 is 6.
We can draw 6 out of this expression to get 6(3m + 7n).
This is an equivalent expression.
We can also draw 2 out to get 2(9m + 21n).
We can also draw 3 out to get 3(6m + 14n).
We can also draw 1/2 out to get (1/2)(36m + 84n).
There are endless possibilities, but these are a few. You get the idea!
Please mark as Brainliest! :)