(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:
C
Step-by-step explanation:
Melania: 2 1/5 = 11/5
Cathy 1 3/4 as far as Melania did => 7/4 x 11/ 5 = 77 / 20 = 3 17/20
The line is going down (from left to right), so it has a negative slope
horizontal lines have zero slope
vertical lines have undefined slope
lines going up (from left to right) would have positive slope
This is going down so it is Choice B
Answer:
Pretty sure its 4/5
Step-by-step explanation:
Ratio is 20:25 simply it by dividing 5 its 4:5 then as a fraction it's 4/5
Answer:
90 centimetres per day
Step-by-step explanation:
Given that:
One of the Bamboo species growth can be seen.
Growth in 
of a day = 30 cm
To find:
The growth per day in centimetres as a proper fraction, mixed number or whole number.
Solution:
If we are given that:
The growth of a bamboo tree is 
centimetres in 
number of days.
Then growth per day can be found by dividing the total growth of bamboo tree by the number of days.
Formula can be written as:
Growth per day = 
We are given that:
Putting the values, we get:
