Is prove-sin(pi/4)=-cos(pi/4) ?

The answer to whether prove-sin(pi/4)=-cos(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(pi/4)=-cos(pi/4)

prove

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

True

Solution steps

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

Manipulating left side

- sin (\frac{π}{4})

Simplify

= - \frac{2}{2}

Manipulating right side

- cos (\frac{π}{4})

Simplify

= - \frac{2}{2}

We showed that the two sides could take the same form

\Rightarrow True

tan (x) + cot (x) = tan (x)

sin (2 x) = \frac{2 \cdot tan ( x )}{1 + tan ^{2} ( x )}

sin (x + b) - sin (x - b) = 2 cos (x) sin (b)

sin (4 x) = 2 sin (x) (cos (x) + cos (3 x))

1 - cos^{2} (x) - cos^{2} (x) = - cos (2 x)

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