What is the general solution for 2sqrt(2)sin(x)+sec(x)=0 ?

The general solution for 2sqrt(2)sin(x)+sec(x)=0 is x=(5pi)/8+pin,x=(7pi)/8+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sqrt(2)sin(x)+sec(x)=0

22 sin (x) + sec (x) = 0

x = \frac{5 π}{8} + πn, x = \frac{7 π}{8} + πn

Solution steps

22 sin (x) + sec (x) = 0

Express with sin, cos

\frac{1 + 2 cos ( x ) sin ( x ) 2}{cos ( x )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

1 + 2 cos (x) sin (x) 2 = 0

Rewrite using trig identities

1 + sin (2 x) 2 = 0

Move

1

to the right side

sin (2 x) 2 = - 1

Divide both sides by

2

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

General solutions for

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

2 x = \frac{5 π}{4} + 2 πn, 2 x = \frac{7 π}{4} + 2 πn

Solve

2 x = \frac{5 π}{4} + 2 πn : x = \frac{5 π}{8} + πn

Solve

2 x = \frac{7 π}{4} + 2 πn : x = \frac{7 π}{8} + πn

x = \frac{5 π}{8} + πn, x = \frac{7 π}{8} + πn

cos (θ) = \frac{- 2}{( 30 + ( 7 ) )}

cos^{3} (x) - 2 sin (x) - 0.7 = 0

cos^{2} (x) - sin^{2} (x) = sec^{2} (x) - csc^{2} (x)

2 - 3 sin (x) = 0

y = cos (x), x

What is the general solution for 2sqrt(2)sin(x)+sec(x)=0 ?
The general solution for 2sqrt(2)sin(x)+sec(x)=0 is x=(5pi)/8+pin,x=(7pi)/8+pin