What is the general solution for sin(a)= 5/13 ?

The general solution for sin(a)= 5/13 is a=0.39479…+2pin,a=pi-0.39479…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(a)= 5/13

sin (a) = \frac{5}{13}

a = 0.39479 \dots + 2 πn, a = π - 0.39479 \dots + 2 πn

Degrees

a = 22.61986 \dots^{\circ} + 36 0^{\circ} n, a = 157.38013 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{5}{13}

Apply trig inverse properties

sin (a) = \frac{5}{13}

General solutions for

sin (a) = \frac{5}{13}

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

a = arcsin (\frac{5}{13}) + 2 πn, a = π - arcsin (\frac{5}{13}) + 2 πn

a = arcsin (\frac{5}{13}) + 2 πn, a = π - arcsin (\frac{5}{13}) + 2 πn

Show solutions in decimal form

a = 0.39479 \dots + 2 πn, a = π - 0.39479 \dots + 2 πn

sin (θ) = \frac{- 1}{2}

tan (x) = \frac{12}{5}

3 cot (x) - 3 = 0

2 tan^{2} (θ) + 5 tan (θ) = 0

cos (θ) - 3 sin (θ) = 1

What is the general solution for sin(a)= 5/13 ?
The general solution for sin(a)= 5/13 is a=0.39479…+2pin,a=pi-0.39479…+2pin