First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
Answer:
The player's height is 4.45 standard deviations above the mean.
Step-by-step explanation:
Z-score:
Measures how many standard deviations a measure X is above or below the mean.
His height converts to the z score of 4.45.
This means that:
The player's height is 4.45 standard deviations above the mean.
Answer:
The distance she bikes is 11/6 times as much as the distance she runs.
Step-by-step explanation:
Alex bikes 2.75 miles, runs 1.5 miles. The distance she bikes is 2.75/1.5 times as much as the distance she runs.
The distance she bikes is 11/6 times as much as the distance she runs.
Answer:
c=sqrt21
Step-by-step explanation:
angle c is the angle between a and b, so use the cos law
c^2=a^2+b^2-2*a*b*cosC
c^2= 16+25-2*4*5*1/2
c^2=21
c=sqrt21
Answer:
is this good?? i mean is it correct
