What is the general solution for sin(θ)= 6/7 ?

The general solution for sin(θ)= 6/7 is θ=1.02969…+2pin,θ=pi-1.02969…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(θ)= 6/7

sin (θ) = \frac{6}{7}

θ = 1.02969 \dots + 2 πn, θ = π - 1.02969 \dots + 2 πn

Degrees

θ = 58.99728 \dots^{\circ} + 36 0^{\circ} n, θ = 121.00271 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{6}{7}

Apply trig inverse properties

sin (θ) = \frac{6}{7}

General solutions for

sin (θ) = \frac{6}{7}

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

θ = arcsin (\frac{6}{7}) + 2 πn, θ = π - arcsin (\frac{6}{7}) + 2 πn

θ = arcsin (\frac{6}{7}) + 2 πn, θ = π - arcsin (\frac{6}{7}) + 2 πn

Show solutions in decimal form

θ = 1.02969 \dots + 2 πn, θ = π - 1.02969 \dots + 2 πn

3 + 3 sin (θ) = 2 cos^{2} (θ)

4 sin (θ) + 7 = 5

cos (x) = 0.5, 0 \leq x \leq 2 π

2 sin (x) cos (x) + 3 cos (x) = 0

4 sin (x) = 3 cos (x)

What is the general solution for sin(θ)= 6/7 ?
The general solution for sin(θ)= 6/7 is θ=1.02969…+2pin,θ=pi-1.02969…+2pin