Answer:
36:85
Step-by-step explanation:
Given the right angled triangle as shown in the attachment, the cos of angle N can be gotten by simply using the CAH method in SOH CAH TOA.
According to CAH
Cos∠N = Adjacent/Hypotenuse
Hypotenuse is the longest of the triangle |ON| = 85
Since the opposite side to ∠N is 77, the third side will be the Adjacent side.
Adjacent side will be |NP| = 36
Therefore:
Cos∠N = 36/85
The ratio that represents the cosine of ∠N is 36:85
15/5 + 40.7 -3^4
= 3 + 40.7 - 81
= -37.3
hope this helps! :)))
Answer:
1/2
Step-by-step explanation:
9/16 is equal to 0.5625
. The closest number to this is 0.5 which is the same as 1/2
Since the measure of angle
is ![\frac{7\Pi }{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%5CPi%20%7D%7B4%7D%20)
The measure of its reference angle = ![\frac{7\times 180^{\circ}}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%5Ctimes%20180%5E%7B%5Ccirc%7D%7D%7B4%7D%20)
=![=315^{\circ}](https://tex.z-dn.net/?f=%20%3D315%5E%7B%5Ccirc%7D%20)
Now we have to compute the value of ![\tan \Theta](https://tex.z-dn.net/?f=%20%5Ctan%20%5CTheta%20%20)
![\tan \Theta = \tan \frac{7\Pi }{4}](https://tex.z-dn.net/?f=%20%5Ctan%20%5CTheta%20%3D%20%5Ctan%20%5Cfrac%7B7%5CPi%20%7D%7B4%7D%20)
![= \tan (2\Pi -\frac{\Pi }{4})](https://tex.z-dn.net/?f=%20%3D%20%5Ctan%20%282%5CPi%20-%5Cfrac%7B%5CPi%20%7D%7B4%7D%29%20)
The value of (
) lies in the fourth quadrant. In fourth quadrant, the value of tan is always negative.
So, ![\tan (2\Pi -\frac{\Pi }{4})](https://tex.z-dn.net/?f=%20%5Ctan%20%282%5CPi%20-%5Cfrac%7B%5CPi%20%7D%7B4%7D%29%20)
![= -\tan (\frac{\Pi }{4})](https://tex.z-dn.net/?f=%20%3D%20-%5Ctan%20%28%5Cfrac%7B%5CPi%20%7D%7B4%7D%29%20)
= -1.