What is the general solution for sin(u)=0.8746 ?

The general solution for sin(u)=0.8746 is u=1.06461…+2pin,u=pi-1.06461…+2pin

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sin(u)=0.8746

sin (u) = 0.8746

u = 1.06461 \dots + 2 πn, u = π - 1.06461 \dots + 2 πn

Degrees

u = 60.99767 \dots^{\circ} + 36 0^{\circ} n, u = 119.00232 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (u) = 0.8746

Apply trig inverse properties

sin (u) = 0.8746

General solutions for

sin (u) = 0.8746

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

u = arcsin (0.8746) + 2 πn, u = π - arcsin (0.8746) + 2 πn

u = arcsin (0.8746) + 2 πn, u = π - arcsin (0.8746) + 2 πn

Show solutions in decimal form

u = 1.06461 \dots + 2 πn, u = π - 1.06461 \dots + 2 πn

r \cdot sin (x) = 9 - r^{2} \cdot cos^{2} (a)

0 = 2 + 2 cos (θ)

cos (4 5^{\circ} + x) - cos (4 5^{\circ} - x) = 2 cos (x)

sin (b) = cos (2 b - 30)

2 sin (x) cos (x) - 4 cos (x) - sin (x) + 2 = 0

What is the general solution for sin(u)=0.8746 ?
The general solution for sin(u)=0.8746 is u=1.06461…+2pin,u=pi-1.06461…+2pin