Is 1-(cos^2(x))/(1-sin(x))=-sin(x) ?

The answer to whether 1-(cos^2(x))/(1-sin(x))=-sin(x) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

prove 1-(cos^2(x))/(1-sin(x))=-sin(x)

prove

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

True

Solution steps

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

Manipulating left side

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

Rewrite using trig identities

= - sin (x)

We showed that the two sides could take the same form

\Rightarrow True

sin (x) = \frac{1}{csc ( x )}

cos (x) = sin (\frac{π}{2} - x)

cos (x) = sin (x) cot (x)

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

2 cos^{2} (θ) tan (θ) = sin (2 θ)

Is 1-(cos^2(x))/(1-sin(x))=-sin(x) ?
The answer to whether 1-(cos^2(x))/(1-sin(x))=-sin(x) is True