What is the parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a)) ?

The parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a)) is Odd

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a))

parity

y = (\frac{x}{a ^{2} - x ^{2}} - arcsin (\frac{x}{a}))

Odd

Solution steps

f (- x) : - \frac{x}{a ^{2} - x ^{2}} - arcsin (- \frac{x}{a})

- f (x) : - \frac{x}{a ^{2} - x ^{2}} + arcsin (\frac{x}{a})

Check parity of

\frac{x}{a ^{2} - x ^{2}} - arcsin (\frac{x}{a})

Check if Even:

False

Check if Odd:

True

Odd

What is the parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a)) ?
The parity y=(x/(sqrt(a^2-x^2))-arcsin(x/a)) is Odd