What is the value of cot(pi/4)-pi/4 csc^2(pi/4) ?

The value of cot(pi/4)-pi/4 csc^2(pi/4) is 1-pi/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot(pi/4)-pi/4 csc^2(pi/4)

cot (\frac{π}{4}) - \frac{π}{4} csc^{2} (\frac{π}{4})

1 - \frac{π}{2}

Solution steps

cot (\frac{π}{4}) - \frac{π}{4} csc^{2} (\frac{π}{4})

Use the following trivial identity:

cot (\frac{π}{4}) = 1

Use the following trivial identity:

csc (\frac{π}{4}) = 2

= 1 - \frac{π}{4} (2)^{2}

Simplify

1 - \frac{π}{4} (2)^{2} : 1 - \frac{π}{2}

= 1 - \frac{π}{2}

- 6 cos (4 5^{\circ})

\frac{5}{cos ( 6 5 ^{\circ} )}

tan (1.33)

11 cos (4 5^{\circ})

16 sin (4 2^{\circ})

What is the value of cot(pi/4)-pi/4 csc^2(pi/4) ?
The value of cot(pi/4)-pi/4 csc^2(pi/4) is 1-pi/2