What is the value of -cot((3pi)/4)csc((3pi)/4) ?

The value of -cot((3pi)/4)csc((3pi)/4) is square root of 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-cot((3pi)/4)csc((3pi)/4)

- cot (\frac{3 π}{4}) csc (\frac{3 π}{4})

2

Solution steps

- cot (\frac{3 π}{4}) csc (\frac{3 π}{4})

Use the following trivial identity:

cot (\frac{3 π}{4}) = - 1

Rewrite using trig identities:

csc (\frac{3 π}{4}) = 2

= - (- 1) 2

Simplify

= 2

1 - cos (\frac{3 π}{2})

sec (- 60 0^{\circ})

50 \cdot cos (3 7^{\circ})

\frac{cos ( 6 0 ^{\circ} )}{cos ( 3 0 ^{\circ} )}

sin (2 \cdot 15)

What is the value of -cot((3pi)/4)csc((3pi)/4) ?
The value of -cot((3pi)/4)csc((3pi)/4) is square root of 2