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Find the exact values for the sin θ, cos θ and tan θ if the terminal
side passes through (5,12)
First let’s see what we know.
X = 5
Y = 12
We can solve for R using Pythagoras’ theorem as shown here:
Now we know the length of each side, X= 5, Y= 12 and R=13
Recall the following equations:
All we have to do now is substitute in the values and solve for
each.
Sin θ = 0.923
Cos θ = 0.385
Tan θ = 2.4
Now let’s use this same problem and solve for the CSC θ, SEC θ,
and the COT θ
Remember we know that X= 5, Y= 12 and R=13, also recall the
following equations:
Now let’s substitute in the correct values and solve.
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