Find the approximate value of s, to four decimal places, in th...

Question

Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.

sin s = 0.9918

Accepted Answer

Welcome back. I am so glad you're here. We're told, considering the interval from zero to pi divided by two inclusive of both, find the approximate value of X express your answer in four decimal places. We're given that the sign of X equals 0.9783. Our answer choices are answer choice. A 0.9728. Answer choice. B 1.3841 answer choice, C 1.0059 and answer choice D 1.3621. All right to solve for the angle here, the X, the missing part. When we know what the sign of X is equal to, we will use the inverse sine function on the calculator. So first make sure your calculator is in radiance mode, not degrees mode. You want it in radiance mode. Then you're going to hit the button that looks like s raised to the negative one. That's the inverse sign button. It'll give you a parentheses and then you put what the sign is equal to 0.9783 close the parentheses and hit enter, you'll get something like 1.36209 and then that'll keep going. But we're asked to round to four decimal places. So here X is equal to 1.362. This zero looks to the nine and rounds up to a one. And if you are plugging in the sign of 1.3621 that would give you the 0.9783. We look at our answer choices for 1.3621 and that matches with answer choice. D well done. We'll catch you on the next one.

Find the approximate value of s, to four decimal places, in the interval [0, π/2] that makes each statement true.

sin s = 0.9918

Key Concepts

Sine Function

Inverse Sine Function

Interval Notation

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