The angle 01 is located in Quadrant IV, and sin(01) = -24/ 25

What is the value of cos(01)?​

Step-by-step explanation:

We can solve that using this identity,

plug in -24/25 from x in sin

Since cos is positve in quadrant 4, the answer is 7/25.

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

then

Sin(Ф) = -

find the angle Ф

Ф = arcSin ( - )

Ф = -73.739795°

so an angle measured clock wise from x axis at zero°

now use cos(Ф) = x/ 25    to find x

25* cos(  -73.739795°) = x

7 = x   :o  wow... exactly?   :P nice

cos(Ф) = 7/25     I think that's what they wanted to know  

also I noted my calculator tried to find the fraction of 0.2800000049 and couldn't,  but then I just put in 0.28 and it found that to be 7/25  :0  so I think we're spot on  :)  

$7 + $0.20p = $5 + $0.30p

Step-by-step explanation:

UPS charges $7 for the first pound and $0.20 for each additional pound.

FedEx charges $5 for the first pound and $0.30 for each additional pound.

Let's take the number of  additional pounds that will make UPS and FedEx cost the same to be p.

$7 + $0.20p = $5 + $0.30p

$7 - $5 = $0.30p - $0.20p

$2 = $0.10p

p = = 20 additional pounds