Step-by-step explanation:
Since we can get some information from this. First of all is defined as . So the adjacent side is 3 and the hypotenuse is 4. Using this we can find the opposite side to find to calculate csc and cot of theta. So using the Pythagorean Theorem we can solve for the missing side. Also I forget to mention we have to calculate the sign of the adjacent side and the hypotenuse. Since you're given that the angle is in quadrant 2, that means the x-value is going to be negative, and the y-value is going to be negative. And the x really represents the adjacent side and the y represents the opposite. So the adjacent side is what's negative. and the opposite is positive
Pythagorean Theorem:
So now we can calculate .
Now to calculate the exact value of csc you simply take the inverse. This gives you . Multiplying both sides by sqrt(7) to rational the denominator gives you .
Now to calculate cot(theta) you find the inverse of tan. Tan is defined as . So all you do is take the inverse which is .
Plug values in
Keep, change, flip
Multiply:
Multiply both sides by sqrt(7)
This is the value of cot(theta)
1 3/4 hours of work equates to $18.375 so $18.38.
2 1/3 hours of work equates to $24.50.
1 5/12 hours of work equates to $14.875 so $14.88
Add all values $18.38+$24.50+$14.88 = $57.76
Doug has a total amount of earnings which = $57.76, good luck!
X times .3=12 So X equals 12/.3 which is 40. Another way of solving it is dividing 12 by 3 which is 4 then multiply by ten.