What is 2csc(2x-pi/4)-1 ?

The solution to 2csc(2x-pi/4)-1 is (2sqrt(2))/(sin(2x)-cos(2x))-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2csc(2x-pi/4)-1

simplify

2 csc (2 x - \frac{π}{4}) - 1

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

Solution steps

2 csc (2 x - \frac{π}{4}) - 1

Rewrite using trig identities

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

Multiply

2 \cdot \frac{2}{sin ( 2 x ) - cos ( 2 x )} : \frac{2 2}{sin ( 2 x ) - cos ( 2 x )}

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

cos (A + π) + sin (A + π)

cos (- πk)

sin (\frac{π}{2} - A)

cos (- π t - π)

cos (18 0^{\circ} + α)

What is 2csc(2x-pi/4)-1 ?
The solution to 2csc(2x-pi/4)-1 is (2sqrt(2))/(sin(2x)-cos(2x))-1