Question

Use the given information to find (a) $\sin (s+t)$, (b) $\tan (s+t)$, and (c) the quadrant of $s+t$ $\sin s=\frac{2}{7}$ and $\sin t=-\frac{4}{7}$, $s$ in quadrant II and $t$ in quadrant IV

Name: use the given information to find a sin st b tan st and c the quadrant of st sin sfrac27 and sin t frac47 s in quadrant ii and t in quadrant iv 61864
Uploaded: 2023-03-30T04:59:52-08:00
Duration: 3 min 12 s
Channel: Aman Gupta
Description: use the given information to find a sin st b tan st and c the quadrant of st sin sfrac27 and sin t frac47 s in quadrant ii and t in quadrant iv 61864

          Use the given information to find (a) $\sin (s+t)$, (b) $\tan (s+t)$, and (c) the quadrant of $s+t$
$\sin s=\frac{2}{7}$ and $\sin t=-\frac{4}{7}$, $s$ in quadrant II and $t$ in quadrant IV

$use the given information to find a sin st b tan st and c the quadrant of st sin sfrac27 and sin t frac47 s in quadrant ii and t in quadrant iv 61864$

Added by Megan R.

Introductory and Intermediate Algebra for College Students 4th

Robert Blitzer 4th Edition

Instant Answer

Solved by Expert Aman Gupta

03/30/2023

Step 1

Given $\sin s = \frac{2}{7}$ and $s$ is in Quadrant II. In Quadrant II, $\cos s$ is negative. We use the identity $\sin^2 s + \cos^2 s = 1$. $\left(\frac{2}{7}\right)^2 + \cos^2 s = 1$ $\frac{4}{49} + \cos^2 s = 1$ $\cos^2 s = 1 - \frac{4}{49} = \frac{49 - 4}{49} Show more…

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Use the given information to find (a) $\sin (s+t)$, (b) $\tan (s+t)$, and (c) the quadrant of $s+t$ $\sin s=\frac{2}{7}$ and $\sin t=-\frac{4}{7}$, $s$ in quadrant II and $t$ in quadrant IV