What is the general solution for sin(x)= 6/10 ?

The general solution for sin(x)= 6/10 is x=0.64350…+2pin,x=pi-0.64350…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 6/10

sin (x) = \frac{6}{10}

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

Degrees

x = 36.86989 \dots^{\circ} + 36 0^{\circ} n, x = 143.13010 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{6}{10}

Cancel the common factor:

2

sin (x) = \frac{3}{5}

Apply trig inverse properties

sin (x) = \frac{3}{5}

General solutions for

sin (x) = \frac{3}{5}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Show solutions in decimal form

x = 0.64350 \dots + 2 πn, x = π - 0.64350 \dots + 2 πn

sin (3 x) = 3 cos (3 x)

(9 sin (2 x) + 9 cos (2 x))^{2} = 81

- 2 cos^{2} (θ) + sin (θ) - 3 = - 4

sec^{2} (x) - 9 sec (x) = 0

- 3 sin (2 θ) = 5 cos (2 θ)

What is the general solution for sin(x)= 6/10 ?
The general solution for sin(x)= 6/10 is x=0.64350…+2pin,x=pi-0.64350…+2pin