Consider angle θ in Quadrant II, where sinθ = 4/5 . What is the value of cosθ?
1 answer:
Answer:
3/5
Step-by-step explanation:
sin theta=opposite/hypotenuse
4/5=opposite/hypotenuse
therefore opposite=4 and hypotenuse=5
for adjacent
using pythagoras theorem
a^2+b^2=c^2
opposite^2 + adjacent^2 =hypotenuse^2
4^2 + adjacent^2 =5^2
16 + adjacent^2 =25
adjacent^2 =25-16
adjacent =![\sqrt{9](https://tex.z-dn.net/?f=%5Csqrt%7B9)
adjacent=3
cos theta=adjacent/hypotenuse
=3/5
therefore the value of cos theta is 3/5
You might be interested in
Angle C equals 63
Add angle 17 plus 100 and the subtract the answer from 180. Because a triangles are always 180 degrees
The original price was $152.23.
Answer:
the Lateral SA is 84
The total is 1092.
Step-by-step explanation:
Your answer is four love!
Answer:
![\huge \boxed{\mathrm{804}}](https://tex.z-dn.net/?f=%5Chuge%20%5Cboxed%7B%5Cmathrm%7B804%7D%7D)
Step-by-step explanation:
![\sf The \ initial \ population \ of \ the \ town \ was \ 568.](https://tex.z-dn.net/?f=%5Csf%20The%20%5C%20initial%20%5C%20%20population%20%5C%20of%20%5C%20the%20%5C%20town%20%5C%20was%20%5C%20568.)
![\sf 236 \ migrated \ to \ the \ town.](https://tex.z-dn.net/?f=%5Csf%20236%20%5C%20migrated%20%5C%20to%20%5C%20the%20%5C%20town.)
![568+236](https://tex.z-dn.net/?f=568%2B236)
![=804](https://tex.z-dn.net/?f=%3D804)
![\sf The \ present \ population \ of \ the \ town \ is \ 804.](https://tex.z-dn.net/?f=%5Csf%20The%20%5C%20present%20%5C%20population%20%5C%20of%20%5C%20the%20%5C%20town%20%5C%20is%20%5C%20804.)