Find the value of the function: Give the exact form of the...

Transcript

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...

Question

Find the value of the function: Give the exact form of the answer. cos(sin^-1(8/17) + cos^-1(4/5))

Question

Find the value of the function: Give the exact form of the answer. cos(sin^-1(8/17) + cos^-1(4/5))

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