What is the general solution for 7sin(x+5)=1 ?

The general solution for 7sin(x+5)=1 is x=0.14334…+2pin-5,x=pi-0.14334…+2pin-5

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7sin(x+5)=1

7 sin (x + 5) = 1

x = 0.14334 \dots + 2 πn - 5, x = π - 0.14334 \dots + 2 πn - 5

Solution steps

7 sin (x + 5) = 1

Divide both sides by

7

sin (x + 5) = \frac{1}{7}

Apply trig inverse properties

x + 5 = arcsin (\frac{1}{7}) + 2 πn, x + 5 = π - arcsin (\frac{1}{7}) + 2 πn

Solve

x + 5 = arcsin (\frac{1}{7}) + 2 πn : x = arcsin (\frac{1}{7}) + 2 πn - 5

Solve

x + 5 = π - arcsin (\frac{1}{7}) + 2 πn : x = π - arcsin (\frac{1}{7}) + 2 πn - 5

x = arcsin (\frac{1}{7}) + 2 πn - 5, x = π - arcsin (\frac{1}{7}) + 2 πn - 5

Show solutions in decimal form

x = 0.14334 \dots + 2 πn - 5, x = π - 0.14334 \dots + 2 πn - 5

2 sin (x) tan (2 x) - 3 tan (2 x) = 0

tan (x) = \frac{12}{8}

cos (2 t) - cos (t) = - 0.5, 0 \leq t \leq 2 π

3 ∣ sin (5 θ) ∣ = 0

4 cos (x) + 6 = 5 (cos (x) + 1)

What is the general solution for 7sin(x+5)=1 ?
The general solution for 7sin(x+5)=1 is x=0.14334…+2pin-5,x=pi-0.14334…+2pin-5