Is sin((3pi)/2-x)=-cos(x) ?

The answer to whether sin((3pi)/2-x)=-cos(x) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove sin((3pi)/2-x)=-cos(x)

prove

sin (\frac{3 π}{2} - x) = - cos (x)

True

Solution steps

sin (\frac{3 π}{2} - x) = - cos (x)

Manipulating left side

sin (\frac{3 π}{2} - x)

Rewrite using trig identities

= - cos (x)

We showed that the two sides could take the same form

\Rightarrow True

sin (x) sec (x) = \frac{1}{cot ( x )}

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

1 - cos^{2} (θ) = sin^{2} (θ)

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

2 cos^{2} (x) + sin^{2} (x) = 1 + cos^{2} (x)

Is sin((3pi)/2-x)=-cos(x) ?
The answer to whether sin((3pi)/2-x)=-cos(x) is True