In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
1 answer:
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check attachment for diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
You might be interested in
Answer:
csc(θ) = 1.1662
cos(θ) = 0.5145
Step-by-step explanation:
I attach the image of your question in the picture below
We know the values of the adjacent and opposite cathetus
tan(θ) = Opposite / Adjacent
tan(θ) = 5/3 = 1.666
θ = tan^-1 (5/3)
θ = 59.0362 °
Now that we have the angle, we can easily find the value of the expressions needed
csc(θ) = 1 / sin(θ) = 1/ (0.85749) = 1.1662
cos(θ) = 0.5145
