(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.
Answer:
y= -1x - 6
I really hope this helps you!
X = quarters
y = dimes
0.25x + 0.10y = 6.95 or 25x + 10y = 695
x + y = 44
25x + 10y = 695
25 (x + y = 44)
25x + 10y = 695
25x + 25y = 1,100
-15y = -405
y = 27 dimes
and 17 quarters
Answer:
76
Step-by-step explanation:
1. Replace n with 10. The equation will look like:
-5+9(10-1)
2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:
-5+9(9)
3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:
-5+81
4. Now we move on to addition and subtraction; add the two numbers!
-5+81=76
There's your answer!! Hope this helped :)
Answer:
It would be 5
Step-by-step explanation:
