For -7pi/6 is an angle in second quadrant, then sine and cosecant must be positive; and cosine, secant, tangent and cotangent must me negative.
The reference angle is:
7pi/6-pi=7pi/6-6pi/6=(7pi-6pi)/6=pi/6
Then
sin(-7pi/6)=sin(pi/6)→sin(-7pi/6)=1/2
cos(-7pi/6)=-cos(pi/6)→cos(-7pi/6)=-sqrt(3)/2
csc(-7pi/6)=1/sin(-7pi/6)=1/(1/2)=1(2/1)=2/1→csc(-7pi/6)=2
sec(-7pi/6)=1/cos(-7pi/6)=1/(-sqrt(3)/2)=-1(2/sqrt(3))=-2/sqrt(3)→
sec(-7pi/6)=-[2/sqrt(3)]*sqrt(3)/sqrt(3)=-2sqrt(3)/[sqrt(3)]^2→
sec(-7pi/6)=-2sqrt(3)/3
tan(-7pi/6)=sin(-7pi/6)/cos(-7pi/6)=(1/2)/(-sqrt(3)/2)=-(1/2)*(2/sqrt(3))→
tan(-7pi/6)=-2/[2sqrt(3)]=-1/sqrt(3)=-[1/sqrt(3)]*[sqrt(3)/sqrt(3)]→
tan(-7pi/6)=-sqrt(3)/[sqrt(3)]^2→tan(-7pi/6)=-sqrt(3)/3
cot(-7pi/6)=cos(-7pi/6)/sin(-7pi/6)=[-sqrt(3)/2]/(1/2)=-sqrt(3)/2*(2/1)→
cot(-7pi/6)=-2sqrt(3)/2→cot(-7pi/6)=-sqrt(3)
Answers:
sin(-7pi/6) = 1/2
cos(-7pi/6) = - sqrt(3)/2
tan(-7pi/6) = - sqrt(3)/3
csc(-7pi/6) = 2
sec(-7pi/6) = - 2*sqrt(3)/2
cot(-7pi/6) = - sqrt(3)
Answer:
From least to greatest it would be 87, 99, 156, 177
Step-by-step explanation:
The statement "from least to greatest" means starting from the lowest value and transitioning to the greatest value/
Think of it as least -> greatest.
Multiply the coefficients and the powers of 10 with each other:
The numeric part simply yields
As for the powers of 10, you have to add the exponents, using the rule
So, we have
So, the final answer is
Answer:
Step-by-step explanation:
The truck's fuel consumption is:
660 miles
---------------- = 7.33 miles per gallon.
90 gallons
Draw a set of coordinate axes, with # of gallons on the horiz. axis and distance traveled on the vertical axis. Place a black dot at (0,0). Starting at (0,0), draw in scale divisions that can accommodate 0-100 gallons. Mark scale divisions on the vertical axis such that the maximum distance traveled is 800 miles. Now draw a vertical line through 90 gallons and a horizontal line through 660 miles. Draw a black dot where these two lines intersect. Now draw a straight line through (0,0) and (90,660). These two points are your intercepts, horiz. first and vert. second.
The domain is the set of numbers on the horiz. axis for which you have a graph (meaning that your function is defined). Here your domain is
[0,90] gallons. No function is defined for less than 0 gallons or more than 90 gallons.
The origin represents no fuel yet consumed and no distance yet traveled.
