Mathematics: Which of the following trigonometric equations is false for x? a) sin x = 2 /√5 b) cos x = -0.1439 c) cos² x + sin² x = 1 d) sec x = √3 / 4 e) tan x = -100

Which of the following trigonometric equations

Ответ:

hindjssnsk

06.01.2022

ANSWER

$\sec(x) = \frac{ \sqrt{3} }{4}$

EXPLANATION

The correct answer is option D.

The value of the basic cosine function is between negative one and one.

That is for
$f(x)= \cos(x)$
the range of f is
[-1,1]

The given equation in option D is

$\sec(x) = \frac{ \sqrt{3} }{4}$

We know that the secant function is the reciprocal of the cosine function.

This implies that,

$\cos(x) = \frac{4}{ \sqrt{3} } = \frac{4 \sqrt{3} }{3}$

This value is more than 1. It is not within the range of the cosine function, hence it is false because it is not defined.

0,0(0 оценок)

Ответ:

dedrell16

01.11.2021

Mathematics

Step-by-step explanation:

$\frac{4}{8} = \frac{5}{10} = \frac{6}{12} \\$

0,0(0 оценок)

Which of the following trigonometric equations is false for x?
a) sin x = 2 /√5
b) cos x = -0.1439
c) cos² x + sin² x = 1
d) sec x = √3 / 4
e) tan x = -100

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question