Is sin((7pi)/4)=sin((-pi)/4) ?

The answer to whether sin((7pi)/4)=sin((-pi)/4) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove sin((7pi)/4)=sin((-pi)/4)

prove

sin (\frac{7 π}{4}) = sin (\frac{- π}{4})

True

Solution steps

sin (\frac{7 π}{4}) = sin (\frac{- π}{4})

Manipulating left side

sin (\frac{7 π}{4})

Simplify

sin (\frac{7 π}{4}) : - \frac{2}{2}

= - \frac{2}{2}

Manipulating right side

sin (\frac{- π}{4})

Simplify

sin (\frac{- π}{4}) : - \frac{2}{2}

= - \frac{2}{2}

We showed that the two sides could take the same form

\Rightarrow True

cos (π - θ) = cos (θ)

tan (x) = \frac{4}{5}

tan (2 x) = \frac{2 tan ( x )}{( 1 - tan ^{2} ( x ) )}

\frac{cot ^{2} ( t )}{cos ( t )} = cot (t) csc (t)

\frac{sin ( x ) + tan ( x )}{1 + sec ( x )} = sec (x)

Is sin((7pi)/4)=sin((-pi)/4) ?
The answer to whether sin((7pi)/4)=sin((-pi)/4) is True