What is cot^2(a)-1/(sin^2(a))+1 ?

The solution to cot^2(a)-1/(sin^2(a))+1 is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify cot^2(a)-1/(sin^2(a))+1

simplify

cot^{2} (a) - \frac{1}{sin ^{2} ( a )} + 1

0

Solution steps

cot^{2} (a) - \frac{1}{sin ^{2} ( a )} + 1

Use the basic trigonometric identity:

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

= cot^{2} (a) + 1 - csc^{2} (a)

Use the Pythagorean identity:

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

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

= 1 - 1

Subtract the numbers:

1 - 1 = 0

= 0

(2 x^{3} y^{- 2}) - 2

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

1 + (- 1) n

(x - 1)^{2} + (y - 1)^{3}

2 x (3 x^{3} - 5 x^{2} + 7 x - 5)