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

The general solution for sin(t)= 2/5 is t=0.41151…+2pin,t=pi-0.41151…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(t)= 2/5

sin (t) = \frac{2}{5}

t = 0.41151 \dots + 2 πn, t = π - 0.41151 \dots + 2 πn

Degrees

t = 23.57817 \dots^{\circ} + 36 0^{\circ} n, t = 156.42182 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (t) = \frac{2}{5}

Apply trig inverse properties

sin (t) = \frac{2}{5}

General solutions for

sin (t) = \frac{2}{5}

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

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

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

Show solutions in decimal form

t = 0.41151 \dots + 2 πn, t = π - 0.41151 \dots + 2 πn

tan (x) - 1 = sec (x)

0 = sec (x)

tan (2 x) = - 2

tan^{3} (x) - 1 tan (x) = 0

2 cos (x) - 1 = 0, 0 \leq x \leq 2 π

What is the general solution for sin(t)= 2/5 ?
The general solution for sin(t)= 2/5 is t=0.41151…+2pin,t=pi-0.41151…+2pin