SOLUTION: Hi, I have a homework problem that states, " The cosine of some angle (theta), which is in the first quadrant, has the following value: cos(theta)=.0545" And it wants me to sol

Algebra ->  Trigonometry-basics -> SOLUTION: Hi, I have a homework problem that states, " The cosine of some angle (theta), which is in the first quadrant, has the following value: cos(theta)=.0545" And it wants me to sol      Log On


   



Question 899110: Hi, I have a homework problem that states, " The cosine of some angle (theta), which is in the first quadrant, has the following value: cos(theta)=.0545"
And it wants me to solve for the sin and tan. I am very lost on what to do, thank you in advance for your help.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The cosine of some angle (theta), which is in the first quadrant, has the following value: cos(theta)=.0545 = 545/10000"
-----
Note cos = x/r
So, x = 545 and r = 10000
Then y = sqrt(10000^2-545^2) = 9985
------
And it wants me to solve for the sin and tan.
sin = y/r = 9985/10000 = 0.9985
tan = y/x = 9985/545 = 18.32
=====================
Cheers,
Stan H.
-------------------