Find sin(x/2), cos(x/2), and tan(x/2) from the given information. Sin(x) = 24/25, 0° < x < 90°

Name: find sinx2 cosx2 and tanx2 from the given information sinx 2425 0 x 90 50398
Uploaded: 2023-03-11T19:51:12-08:00
Duration: 2 min 37 s
Channel: Kathleen Carty
Description: find sinx2 cosx2 and tanx2 from the given information sinx 2425 0 x 90 50398

          Find sin(x/2), cos(x/2), and tan(x/2) from the given
information.
Sin(x) = 24/25, 0° < x < 90°

Added by Cody D.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Kathleen Carty

03/11/2023

Step 1

Since sin(x) = 24/25, we have sin^2(x) = (24/25)^2 = 576/625. Now, we can find cos^2(x): cos^2(x) = 1 - sin^2(x) = 1 - 576/625 = 49/625. Taking the square root of both sides, we get cos(x) = 7/25, since x is in the first quadrant and cos(x) is positive. Now, Show more…

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