Find a value of θ, in the interval [0°, 90°) that satisfies each ...

Question

Find a value of θ, in the interval [0°, 90°) that satisfies each statement. Give answers in decimal degrees to six decimal places.

csc θ = 9.5670466

Accepted Answer

Hey, everyone. Here we are asked to determine the value of the acute angle beta with the help of a calculator and then round the answer to six decimal places. Here we are given coin of beta is equal to 12.4359791. Here we have four answer choice options. Answer choice A 2. answer B 8. answer C 5. and answer D 4.612239. So in order to determine the value of our angle beta, we first need to solve for beta in our given expression. And so we need to notice that beta is within coin. So in order to get beta alone, we need to take the coin inverse of both sides of the equation. And so doing this on the left side, we can notice that coin and coin inverse cancel each other out. And so we are just left with beta is equivalent to coin inverse of 12.4359791. And now we just need to enter this expression into a calculator and we find that beta is 4.6122388. And now we just need to round our value to six decimal places. And so we have that beta is approximately 4.612239. And with our rounded value, we are left here with answer choice D where again, beta is 4.612239. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Find a value of θ, in the interval [0°, 90°) that satisfies each statement. Give answers in decimal degrees to six decimal places. csc θ = 9.5670466