Q.1 Find the exact value of six trig... [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 8: Q.1 (page 507)

Find the exact value of six trigonometrical functions of the angle $胃$

Short Answer

Expert verified

The simplified value is $si n 胃 = \frac{p e r p e n d i c u l a r}{h y p e \tan o u s} = \frac{4}{5} \cos 胃 = \frac{b a s e}{h y p e \tan o u s} = \frac{3}{5} \tan 胃 = \frac{p e r p e n d i c u l a r}{b a s e} = \frac{4}{3} c o t 胃 = \frac{1}{\tan 胃} = \frac{3}{4} c s c 胃 = \frac{1}{\sin 胃} = \frac{5}{4} s e c 胃 = \frac{1}{\cos 胃} = \frac{5}{3}$

Step by step solution

Step 1. Given information

The given data from the graph is $p e r p e n d i c u l a r = 4 b a s e = 3$

Step 2. Write all the trigonometrical function

Here, $p e r p e n d i c u l a r = 4 b a s e = 3$

By Pythagoras theorem, $h^{2} = p^{2} + b^{2} = 3^{2} + 4^{2} = 9 + 16 = 25 h = 5$

role="math" localid="1646655843647" $si n 胃 = \frac{p e r p e n d i c u l a r}{h y p e \tan o u s} = \frac{4}{5} \cos 胃 = \frac{b a s e}{h y p e \tan o u s} = \frac{3}{5} \tan 胃 = \frac{p e r p e n d i c u l a r}{b a s e} = \frac{4}{3} c o t 胃 = \frac{1}{\tan 胃} = \frac{3}{4} c s c 胃 = \frac{1}{\sin 胃} = \frac{5}{4} s e c 胃 = \frac{1}{\cos 胃} = \frac{5}{3}$

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91影视

Find the exact value of six trigonometrical functions of the angle $胃$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Write all the trigonometrical function

One App. One Place for Learning.

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91影视

Find the exact value of six trigonometrical functions of the angle胃

Short Answer

Step by step solution

Step 1. Given information

Step 2. Write all the trigonometrical function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Mechanics Maths

Probability and Statistics

Decision Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the exact value of six trigonometrical functions of the angle $胃$