What is the general solution for sin(d)= 12/15 ?

The general solution for sin(d)= 12/15 is d=0.92729…+2pin,d=pi-0.92729…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(d)= 12/15

sin (d) = \frac{12}{15}

d = 0.92729 \dots + 2 πn, d = π - 0.92729 \dots + 2 πn

Degrees

d = 53.13010 \dots^{\circ} + 36 0^{\circ} n, d = 126.86989 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (d) = \frac{12}{15}

Cancel the common factor:

3

sin (d) = \frac{4}{5}

Apply trig inverse properties

sin (d) = \frac{4}{5}

General solutions for

sin (d) = \frac{4}{5}

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

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

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

Show solutions in decimal form

d = 0.92729 \dots + 2 πn, d = π - 0.92729 \dots + 2 πn

tan (θ^{2}) + tan (θ) = 0

tan (θ) = - \frac{4}{5}

0 = 1 + 2 cos (2 x)

2 tan (x) + 4 = 0

cos (10 x) = - \frac{1}{2}

What is the general solution for sin(d)= 12/15 ?
The general solution for sin(d)= 12/15 is d=0.92729…+2pin,d=pi-0.92729…+2pin