(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.
<span>2s+5>= 49
Subtract 5 from both sides
2s>=44
Divide 2 on both sides
Final Answer: s>=22</span>
Answer:
To solve this inequality you need to get m by itself
3m+10<30 (First subtract 10 from each side)
3m<20 (10-10=0, 30-10=20) (Then divide each side by 3)
m< 20/3 or 6.666666
So your answer is any that is less than 6.66666
Your answer would be 5
5
Hope this helps ;)
Answer:
$1.21
Step-by-step explanation:
Start by finding the total amount spent on shirts. Do this by multiplying $3.65 and 4 together. You will get 14.6. So, he spent $14.60 on 4 shirts. Take this amount and subtract it from the total amount paid for shirts and socks. $23.07 minus $14.60. This will give you $8.47 left to spent on socks. $8.47 divided by 7 is $1.21. Therfore, James paid $1.21 per pair of socks.
Answer:
5 1/3 flour 3 1/5 sugar
Step-by-step explanation:
