Q. 40 use the figures to evaluate each... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 7: Q. 40 (page 495)

use the figures to evaluate each function given that $f (x) = \sin x, g (x) = \cos x$ and $h (x) = \tan x$ .
$h (2 伪)$

Short Answer

Expert verified

Thus

$h (2 伪) = \tan (2 伪) = \frac{\sqrt{15}}{7}$

Step by step solution

Step 1. Given

$h (x) = \tan x t h u s h (2 伪) = t a n 2 伪$

Step 2. Concept

we will use standard trigonometric formula's for solving the given expression.

$\tan 2 伪 = \frac{2 \tan 伪}{1 - \tan^{2} 伪}$

Step 3. Calculation

We know

$\cos 伪 = - \frac{1}{4} a s t h e p o i n t (- \frac{1}{4}, b) l i e s o n t h e c i r c l e x^{2} + y^{2} = 1 N o w s u b s t i t u t e t h e v a l u e s i n t h e t r i g o n o m e t r i c i d e n t i t y \sin^{2} x + \cos^{2} x = 1 t o g e t t h e v a l u e o f \sin x t h e r e f o r e, \sin^{2} x = 1 - {(- \frac{1}{4})}^{2} \sin x = \frac{\sqrt{15}}{4} f i n d i n g \tan 伪 \tan 伪 = \frac{\sin 伪}{\cos 伪} = - \sqrt{15} N o w s u b s t i t u t i n g a l l t h e v a l u e s w e g e t \tan 2 伪 = \frac{2 \tan 伪}{1 - \tan^{2} 伪} = \frac{2 (- \sqrt{15})}{1 - {(- \sqrt{15})}^{2}} = \frac{- 2 \sqrt{15}}{1 - 15} = \frac{\sqrt{15}}{7}$

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91影视

use the figures to evaluate each function given that $f (x) = \sin x, g (x) = \cos x$ and $h (x) = \tan x$ .
$h (2 伪)$

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept

Step 3. Calculation

One App. One Place for Learning.

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91影视

use the figures to evaluate each function given that f(x)=sinx,g(x)=cosxand h(x)=tanx.h(2伪)

Short Answer

Step by step solution

Step 1. Given

Step 2. Concept

Step 3. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Decision Maths

Discrete Mathematics

Logic and Functions

Geometry

Study anywhere. Anytime. Across all devices.

use the figures to evaluate each function given that $f (x) = \sin x, g (x) = \cos x$ and $h (x) = \tan x$ .
$h (2 伪)$