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
<span>Asking a student if they have violated the honor code is not the proper question to ask, for a couple of reasons. First is that maybe they don't even know what the honor code is, and second maybe the students aren't being honest in fear of the reprecussions.</span>
Answer:
300 centimeters
Step-by-step explanation:
1 meter is equal to 100 cm so 3 x 100 = 300
Answer:
Step-by-step explanation:
180 dollars is her pay because you divide 75 by 5 get 15 and multiply that by 12
Answer:
33.33
Percentage Calculator: 120 is what percent of 360? = 33.33.
