What is the general solution for sin(x)= 1/5 sqrt(5),cos(x)-tan(x) ?

The general solution for sin(x)= 1/5 sqrt(5),cos(x)-tan(x) is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(x)= 1/5 sqrt(5),cos(x)-tan(x)

sin (x) = \frac{1}{5} 5, cos (x) - tan (x)

No Solution for x \in R

Solution steps

sin (x) = \frac{1}{5} 5, cos (x) - tan (x)

Simplify

\frac{1}{5} 5 : \frac{5}{5}

\frac{1}{5} 5

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 5}{5}

Multiply:

1 \cdot 5 = 5

= \frac{5}{5}

Apply trig inverse properties

sin (x) = \frac{5}{5}

General solutions for

sin (x) = \frac{5}{5}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{5}{5}) + 2 πn, x = π - arcsin (\frac{5}{5}) + 2 πn

x = arcsin (\frac{5}{5}) + 2 πn, x = π - arcsin (\frac{5}{5}) + 2 πn

Solutions for the range

cos (x) - tan (x)

No Solution for x \in R

What is the general solution for sin(x)= 1/5 sqrt(5),cos(x)-tan(x) ?
The general solution for sin(x)= 1/5 sqrt(5),cos(x)-tan(x) is No Solution for x\in\mathbb{R}