en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cot^{(2)}(x)-csc(x)-1=0

Solution

cot^{(2)} (x) - csc (x) - 1 = 0

Solution

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn

+1

Solution steps

cot^{(2)} (x) - csc (x) - 1 = 0

Rewrite using trig identities

- 2 - csc (x) + csc^{2} (x) = 0

Solve by substitution

csc (x) = 2, csc (x) = - 1

csc (x) = 2 : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

csc (x) = - 1 : x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn, x = \frac{3 π}{2} + 2 πn

Popular Examples

4sin(x)+1=3csc(x)

4 sin (x) + 1 = 3 csc (x)

cos^2(x)-3sin(x)=0

cos^{2} (x) - 3 sin (x) = 0

csc(t)= 1/(-(sqrt(2))/2)

csc (t) = \frac{1}{- \frac{2}{2}}

cos^2(x)=1-sin(x),0<= x<2pi

cos^{2} (x) = 1 - sin (x), 0 \leq x < 2 π

cos(2x)-3sin(x)=2,0<= x<= 360

cos (2 x) - 3 sin (x) = 2, 0^{\circ} \leq x \leq 36 0^{\circ}

Frequently Asked Questions (FAQ)

What is the general solution for cot^{(2)}(x)-csc(x)-1=0 ?
The general solution for cot^{(2)}(x)-csc(x)-1=0 is x= pi/6+2pin,x=(5pi)/6+2pin,x=(3pi)/2+2pin