What is the general solution for 7sin(θ)=5 ?

The general solution for 7sin(θ)=5 is θ=0.79560…+2pin,θ=pi-0.79560…+2pin

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7sin(θ)=5

7 sin (θ) = 5

θ = 0.79560 \dots + 2 πn, θ = π - 0.79560 \dots + 2 πn

Solution steps

7 sin (θ) = 5

Divide both sides by

7

sin (θ) = \frac{5}{7}

Apply trig inverse properties

θ = arcsin (\frac{5}{7}) + 2 πn, θ = π - arcsin (\frac{5}{7}) + 2 πn

Show solutions in decimal form

θ = 0.79560 \dots + 2 πn, θ = π - 0.79560 \dots + 2 πn

tan (2 x) = 3, 0 \leq x \leq 2 π

4 tan^{2} (θ) + tan (θ) = - 4 tan (θ) - 1

8 cos (c) + 6 = 3 cos (c) + 7

2 csc (A) - 4 = 0

7 tan^{2} (x) - 21 = 0

What is the general solution for 7sin(θ)=5 ?
The general solution for 7sin(θ)=5 is θ=0.79560…+2pin,θ=pi-0.79560…+2pin