What is the general solution for sin(x)= 53/59 ?

The general solution for sin(x)= 53/59 is x=1.11589…+2pin,x=pi-1.11589…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 53/59

sin (x) = \frac{53}{59}

x = 1.11589 \dots + 2 πn, x = π - 1.11589 \dots + 2 πn

Degrees

x = 63.93616 \dots^{\circ} + 36 0^{\circ} n, x = 116.06383 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{53}{59}

Apply trig inverse properties

sin (x) = \frac{53}{59}

General solutions for

sin (x) = \frac{53}{59}

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

x = arcsin (\frac{53}{59}) + 2 πn, x = π - arcsin (\frac{53}{59}) + 2 πn

x = arcsin (\frac{53}{59}) + 2 πn, x = π - arcsin (\frac{53}{59}) + 2 πn

Show solutions in decimal form

x = 1.11589 \dots + 2 πn, x = π - 1.11589 \dots + 2 πn

y, z = sin (y)

2 cos (2 x) - 1 = 1 - 2 sin (2 x)

cot^{2} (θ) + 3 csc (θ) = - 3

3 tan^{2} (α) = 3 tan (α)

cos (4 x) + cos (2 x) = 0

What is the general solution for sin(x)= 53/59 ?
The general solution for sin(x)= 53/59 is x=1.11589…+2pin,x=pi-1.11589…+2pin