Question

If $$ \sin x = a $$ and $$ \frac{\pi}{2} < x < \pi $$, which of the following must equal $$ \tan x $$? (A) $$ \frac{1}{\sqrt{1-a^2}} $$ (B) $$ -\frac{1}{\sqrt{1-a^2}} $$ (C) $$ \frac{a}{\sqrt{1-a^2}} $$ (D) $$ -\frac{a}{\sqrt{1-a^2}} $$ O A O B O C O D

Name: if sin x a and fracpi2 x pi which of the following must equal tan x a frac1sqrt1 a2 b frac1sqrt1 a2 c fracasqrt1 a2 d fracasqrt1 a2 o a o b o c o d 98521
Uploaded: 2022-03-23T09:09:23-08:00
Duration: 4 min 6 s
Channel: Ankit Singh
Description: if sin x a and fracpi2 x pi which of the following must equal tan x a frac1sqrt1 a2 b frac1sqrt1 a2 c fracasqrt1 a2 d fracasqrt1 a2 o a o b o c o d 98521

          If $$ \sin x = a $$ and $$ \frac{\pi}{2} < x < \pi $$, which of the following must equal $$ \tan x $$?
(A) $$ \frac{1}{\sqrt{1-a^2}} $$
(B) $$ -\frac{1}{\sqrt{1-a^2}} $$
(C) $$ \frac{a}{\sqrt{1-a^2}} $$
(D) $$ -\frac{a}{\sqrt{1-a^2}} $$
O A
O B
O C
O D

$if sin x a and fracpi2 x pi which of the following must equal tan x a frac1sqrt1 a2 b frac1sqrt1 a2 c fracasqrt1 a2 d fracasqrt1 a2 o a o b o c o d 98521$

Added by Miriam R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ankit Singh

03/23/2022

Step 1

We need to find the value of $$ \tan x $$. Step 2: Recall the trigonometric identity $$ \sin^2 x + \cos^2 x = 1 $$. From this, we can express $$ \cos^2 x $$ as $$ 1 - \sin^2 x $$. So, $$ \cos^2 x = 1 - a^2 $$. Taking the square root of both sides, we get $$ \cos Show more…

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If $$ \sin x = a $$ and $$ \frac{\pi}{2} < x < \pi $$, which of the following must equal $$ \tan x $$? (A) $$ \frac{1}{\sqrt{1-a^2}} $$ (B) $$ -\frac{1}{\sqrt{1-a^2}} $$ (C) $$ \frac{a}{\sqrt{1-a^2}} $$ (D) $$ -\frac{a}{\sqrt{1-a^2}} $$ O A O B O C O D