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

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) (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"
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Note cos = x/r
So, x = 545 and r = 10000
Then y = sqrt(10000^2-545^2) = 9985
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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.
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