Question

Let (-5, -12) be a point on the terminal side of $\theta$. Find the exact values of $\sin\theta$, $\csc\theta$, and $\cot\theta$. $\sin\theta$ = $\csc\theta$ = $\cot\theta$ =

          Let (-5, -12) be a point on the terminal side of $\theta$.
Find the exact values of $\sin\theta$, $\csc\theta$, and $\cot\theta$.
$\sin\theta$ = 
$\csc\theta$ = 
$\cot\theta$ =
        
Let (-5, -12) be a point on the terminal side of θ.
Find the exact values of sinθ, cscθ, and cotθ.
sinθ = 
cscθ = 
cotθ =

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Let (-5,-12) be a point on the terminal side of θ. Find the exact values of sinθ, cscθ, and cotθ. sinθ = cscθ = cotθ = Let (-5,-12) be a point on the terminal side of θ. Find the exact values of sinθ, cscθ, and cotθ. sinθ = cscθ = cotθ =
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Transcript

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00:01 In this question, a point p on the terminal side of an angle theta is given to us us, that is p minus 12 .5.
00:11 And we are supposed to find the six trigonometric functions for this angle theta.
00:17 So let's plot this point p on the coordinate axis.
00:21 So this is x -axis and this is y -axis.
00:24 So the point p is somewhere over here which is minus 12 .5.
00:28 And if we join this point p with the origin then this is the angle theta and this distance op is equal to r now the value of x from the given point we can see that is equal to minus 12 and the value of y is equal to 5 so from here we can calculate the value of r the value of r is given by under root of x square plus y square so if we substitute the values we get under root of minus 12 square plus 5 square.
01:04 So this is equal to under root of 169, which implies the value of r is equal to 13.
01:11 Now, we can write the trigonometric functions.
01:14 So the first trigonometric function is sine theta.
01:17 So sine theta is equal to y upon r.
01:21 And the value of y is 5 and the value of r is 13.
01:26 So we get the first trigonometric function as 5 upon.
01:30 1...
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