<h3>Answers are:
sine, tangent, cosecant, cotangent</h3>
Explanation:
On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.
Since sine is negative, so is cosecant as this is the reciprocal of sine
csc = 1/sin
In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.
Because tangent is negative, so is cotangent.
The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.
Answer:
2976 in³
Step-by-step explanation:
Stool volume = upper smaller prism + Lower bigger prism
Stool volume = 8 x 6 x 12 + 20 x 12 x 10 = 576 + 2400 = 2976
check: volume = 20 x 12 x 16 - 12 x 12 x 6 = 2976
Step-by-step explanation:
=( 5 + 1 )2 - ( 12 + 32 ) + 3
=6 * 2 - 44 + 3
=12 - 44 + 3
= -29
- Given, x > 0, y > 0.
- So, the values of x and y are less than 0, that means, they are negative integers.
- If we divide a Cartesian plane with the x-axis and y-axis, we get four quadrants.
- 1st Quadrant : (+,+)
- 2nd Quadrant : (-,+)
- 3rd Quadrant : (-,-)
- 4th Quadrant : (+,-)
- Since the values of x and y are both negative, so (x, y) is located in the <em><u>3rd Quadrant</u></em>.
Hope you could get an idea from here.
Doubt clarification - use comment section
The given function is : y= f(x) =49 [\frac{1}{7}]^x
The statements which are true regarding this function is
1. As you can observe that y is defined for all values of x , so Domain is set of all values that x can take which is set of all real numbers.
2. Also, x =\frac {\log[\frac{y}{49}]}{-\log7}, so x is defined for all values of y. Range is all values that y can take which is also set of all real numbers greater than zero, i.e y>0.
As ,x =0 then y= 49 and x_{1} =1 then y_{1} = 7,
so ,y_{1} = \frac{y}{7}.
So, Option (1),(4) and (5) are correct.
