What is the general solution for 7sin(x)-4=0 ?

The general solution for 7sin(x)-4=0 is x=0.60824…+2pin,x=pi-0.60824…+2pin

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7sin(x)-4=0

7 sin (x) - 4 = 0

x = 0.60824 \dots + 2 πn, x = π - 0.60824 \dots + 2 πn

Solution steps

7 sin (x) - 4 = 0

Move

4

to the right side

7 sin (x) = 4

Divide both sides by

7

sin (x) = \frac{4}{7}

Apply trig inverse properties

x = arcsin (\frac{4}{7}) + 2 πn, x = π - arcsin (\frac{4}{7}) + 2 πn

Show solutions in decimal form

x = 0.60824 \dots + 2 πn, x = π - 0.60824 \dots + 2 πn

(sin (x) - 2) (cos (x) + 7) = 0

- 4 tan (θ) - 10 = 4 tan (θ) - 7

sin (x) = sin (x^{2})

sin (x) = - 0.23

2 sin^{2} (x) + 3 sin (x) + 1 = 0, 0 \leq x \leq 2 π

What is the general solution for 7sin(x)-4=0 ?
The general solution for 7sin(x)-4=0 is x=0.60824…+2pin,x=pi-0.60824…+2pin