What is the general solution for sin(2x)= 4/5 ?

The general solution for sin(2x)= 4/5 is x=(0.92729…)/2+pin,x= pi/2-(0.92729…)/2+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(2x)= 4/5

sin (2 x) = \frac{4}{5}

x = \frac{0.92729 \dots}{2} + πn, x = \frac{π}{2} - \frac{0.92729 \dots}{2} + πn

Solution steps

sin (2 x) = \frac{4}{5}

Apply trig inverse properties

2 x = arcsin (\frac{4}{5}) + 2 πn, 2 x = π - arcsin (\frac{4}{5}) + 2 πn

Solve

2 x = arcsin (\frac{4}{5}) + 2 πn : x = \frac{arcsin ( \frac{4}{5} )}{2} + πn

Solve

2 x = π - arcsin (\frac{4}{5}) + 2 πn : x = \frac{π}{2} - \frac{arcsin ( \frac{4}{5} )}{2} + πn

x = \frac{arcsin ( \frac{4}{5} )}{2} + πn, x = \frac{π}{2} - \frac{arcsin ( \frac{4}{5} )}{2} + πn

Show solutions in decimal form

x = \frac{0.92729 \dots}{2} + πn, x = \frac{π}{2} - \frac{0.92729 \dots}{2} + πn

2 csc (x) + 17 = 15 + csc (x)

cos (x) - sin (x) = 2

cot (θ) = (5.8473)

6 = 2 + 5 arctan (\frac{x}{2})

tan^{2} (θ) - 2 sec (θ) = 2

What is the general solution for sin(2x)= 4/5 ?
The general solution for sin(2x)= 4/5 is x=(0.92729…)/2+pin,x= pi/2-(0.92729…)/2+pin