What is the general solution for solvefor x,arcsin(y)=arcsin(x)+((pi))/4 ?

The general solution for solvefor x,arcsin(y)=arcsin(x)+((pi))/4 is x=sin(arcsin(y)-pi/4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

solvefor x,arcsin(y)=arcsin(x)+((pi))/4

solve for

x, arcsin (y) = arcsin (x) + \frac{( π )}{4}

x = sin (arcsin (y) - \frac{π}{4})

Solution steps

arcsin (y) = arcsin (x) + \frac{( π )}{4}

Switch sides

arcsin (x) + \frac{π}{4} = arcsin (y)

Move

\frac{π}{4}

to the right side

arcsin (x) = arcsin (y) - \frac{π}{4}

Apply trig inverse properties

x = sin (arcsin (y) - \frac{π}{4})

18 sin^{2} (x) - 9 sin (x) = 0

3 sin^{2} (θ) + 6 sin (θ) - 11 = 7 sin (θ) - 9

x, 2 cos (x) - 3 = 0

tan (θ) = \frac{1.5}{9.81}

sin (x) + cos (x) = 0, 0 \leq x \leq 2 π

What is the general solution for solvefor x,arcsin(y)=arcsin(x)+((pi))/4 ?
The general solution for solvefor x,arcsin(y)=arcsin(x)+((pi))/4 is x=sin(arcsin(y)-pi/4)