Question

Determine the value of the trigonometric function of s using the given information.\\ $\sin s = \frac{15}{17}$, $\cos s = -\frac{8}{17}$ Find $\csc s$. 

          Determine the value of the trigonometric function of s using the given information.\\
$\sin s = \frac{15}{17}$, $\cos s = -\frac{8}{17}$ Find $\csc s$.
Determine the value of the trigonometric function of s using the given information. sin s = (15)/(17), cos s = -(8)/(17) Find csc s.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Determine the value of the trigonometric function of s using the given information. sins=(15)/(17),coss=-(8)/(17), Find cscs Determine the value of the trigonometric function of s using the given information. sins Find csc.s. 17
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Transcript

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00:01 You need to find the exact value of the cos of the sine inverse of 8 over 17 plus the cos inverse of 4 over 5.
00:18 So as we know that the cost of a plus b is equal to cost of a multiplied to cost of b negative sine a multiplied to sine b.
00:33 So therefore the cause inverse of, sorry, the cause of the sine inverse of 8 over 17 plus the cause inverse of 4 over 5 is equal to the cause of sine inverse of 8 over 17 multiply to the cause of cause inverse of 4 over 5 negative.
01:20 Sine of the sine inverse of 8 over 17 multiply to the sign of cos inverse of 4 over 5 so now let us suppose the right angle triangle let us suppose the right angle triangle the sine inverse of 8 over 17 so let the sine inverse of 8 over 17 is equal to x so from here 8 over 17 is equal to sine x so let this angle be x then here will be 8 this will be 17 so by using the pythagoras we can find the value of base that is a 15 so from here we can find the value of cos x that is 15 over 17 so from here the from here the value of x is equal to the cos inverse 15 over 17 so by using this we can write we can write the sign inverse of 8 over 17 should be equal to the cos inverse of 15 over 17 so therefore this value sine inverse of 8 over 17 can be replaced by the cost of the cost inverse of 15 over 17 multiply to the cause of course of course of 4 over 5 negative sign of sine inverse of 8 over 17 now we need to find the cause inverse 4 over 5 so let us suppose the right angle triangle triangle so let us suppose the right angle triangle triangle given that the cost inverse of 4 over 5 let us suppose this value is equal to y.
04:02 So from here 4 over 5 is equal to cos y.
04:07 Let us about this angle is y.
04:10 Now at this value is 4 and hypotenance is 5.
04:14 So from here we can find the value of sine y...
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