What is the general solution for sin(θ)=0.9848 ?

The general solution for sin(θ)=0.9848 is θ=1.39621…+2pin,θ=pi-1.39621…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(θ)=0.9848

sin (θ) = 0.9848

θ = 1.39621 \dots + 2 πn, θ = π - 1.39621 \dots + 2 πn

Degrees

θ = 79.99744 \dots^{\circ} + 36 0^{\circ} n, θ = 100.00255 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = 0.9848

Apply trig inverse properties

sin (θ) = 0.9848

General solutions for

sin (θ) = 0.9848

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

θ = arcsin (0.9848) + 2 πn, θ = π - arcsin (0.9848) + 2 πn

θ = arcsin (0.9848) + 2 πn, θ = π - arcsin (0.9848) + 2 πn

Show solutions in decimal form

θ = 1.39621 \dots + 2 πn, θ = π - 1.39621 \dots + 2 πn

What is the general solution for sin(θ)=0.9848 ?
The general solution for sin(θ)=0.9848 is θ=1.39621…+2pin,θ=pi-1.39621…+2pin