What is the general solution for 3sin(θ)+5=6 ?

The general solution for 3sin(θ)+5=6 is θ=0.33983…+2pin,θ=pi-0.33983…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3sin(θ)+5=6

3 sin (θ) + 5 = 6

θ = 0.33983 \dots + 2 πn, θ = π - 0.33983 \dots + 2 πn

Degrees

θ = 19.47122 \dots^{\circ} + 36 0^{\circ} n, θ = 160.52877 \dots^{\circ} + 36 0^{\circ} n

Solution steps

3 sin (θ) + 5 = 6

Move

5

to the right side

3 sin (θ) + 5 = 6

Subtract

5

from both sides

3 sin (θ) + 5 - 5 = 6 - 5

Simplify

3 sin (θ) = 1

3 sin (θ) = 1

Divide both sides by

3

3 sin (θ) = 1

Divide both sides by

3

\frac{3 sin ( θ )}{3} = \frac{1}{3}

Simplify

sin (θ) = \frac{1}{3}

sin (θ) = \frac{1}{3}

Apply trig inverse properties

sin (θ) = \frac{1}{3}

General solutions for

sin (θ) = \frac{1}{3}

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

θ = arcsin (\frac{1}{3}) + 2 πn, θ = π - arcsin (\frac{1}{3}) + 2 πn

θ = arcsin (\frac{1}{3}) + 2 πn, θ = π - arcsin (\frac{1}{3}) + 2 πn

Show solutions in decimal form

θ = 0.33983 \dots + 2 πn, θ = π - 0.33983 \dots + 2 πn

\frac{9}{73} + sin^{2} (θ) = 1

x, - 2 sin (2 x) - 2 sin (4 x) = 0

6.15 = 220 sin (377 t)

x, 3 sec (5 x) - 2 = 0

cos (t) + cos (2 t) = 0, sin (t) + sin (2 t) = 0

What is the general solution for 3sin(θ)+5=6 ?
The general solution for 3sin(θ)+5=6 is θ=0.33983…+2pin,θ=pi-0.33983…+2pin