(a) Yes all six trig functions exist for this point in quadrant III. The only time you'll run into problems is when either x = 0 or y = 0, due to division by zero errors. For instance, if x = 0, then tan(t) = sin(t)/cos(t) will have cos(t) = 0, as x = cos(t). you cannot have zero in the denominator. Since neither coordinate is zero, we don't have such problems.
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(b) The following functions are positive in quadrant III:
tangent, cotangent
The following functions are negative in quadrant III
cosine, sine, secant, cosecant
A short explanation is that x = cos(t) and y = sin(t). The x and y coordinates are negative in quadrant III, so both sine and cosine are negative. Their reciprocal functions secant and cosecant are negative here as well. Combining sine and cosine to get tan = sin/cos, we see that the negatives cancel which is why tangent is positive here. Cotangent is also positive for similar reasons.
The answer is D
explanation:
Answer:
(x -2) (x- 8) (x+7)
Step-by-step explanation:
Options :
A cookies per pound
B. O pounds per hour
c. cookies per hour
D. hours per cookie
Answer: C.) Cookies per hour
Step-by-step explanation:
Given the following :
Number of cookies baked = 225 cookies
Total time taken = 5 hours
Amount of sugar used = 8 pounds
Tara divides 225 by 5; 225 / 5 = 45
Rate gives the amount or number of times something occurs within a given period, Hence
The rate obtained by Tara corresponds to the ratio of ; (Total cookies baked / total time taken) = (225 / 5), this translates to the amount or number of cookies baked within an hour.
The answer is c. 10%
We know that the antique dealer would normally charge 20% more than the price he purchased the item for. This also means that the antique dealer is making a profit of 20% on the items he sells. If the antique dealer hosts a 10% off sale, he is reducing the profit he is making from 20% to 10%.
