Is 1+cot^2(30)=csc^2(30) ?

The answer to whether 1+cot^2(30)=csc^2(30) is True

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

prove 1+cot^2(30)=csc^2(30)

prove

1 + cot^{2} (3 0^{\circ}) = csc^{2} (3 0^{\circ})

True

Solution steps

1 + cot^{2} (3 0^{\circ}) = csc^{2} (3 0^{\circ})

Use the Pythagorean identity:

1 + cot^{2} (x) = csc^{2} (x)

\Rightarrow True

p ro v e tan (\frac{π}{4} - t) = \frac{1 - tan ( t )}{1 + tan ( t )}

p ro v e - tan (x) = tan (- x)

p ro v e sin (3 θ) = 3 cos^{2} (θ) sin (θ) - sin^{3} (θ)

p ro v e sin (x) sin (3 x) = 4 sin (x) cos^{2} (x)

p ro v e sec (\frac{π}{2} - t) = csc (t)