What is the general solution for sin(x)= pi/4 ?

The general solution for sin(x)= pi/4 is x=0.90333…+2pin,x=pi-0.90333…+2pin

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sin(x)= pi/4

sin (x) = \frac{π}{4}

x = 0.90333 \dots + 2 πn, x = π - 0.90333 \dots + 2 πn

Degrees

x = 51.75751 \dots^{\circ} + 36 0^{\circ} n, x = 128.24248 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{π}{4}

Apply trig inverse properties

sin (x) = \frac{π}{4}

General solutions for

sin (x) = \frac{π}{4}

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

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

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

Show solutions in decimal form

x = 0.90333 \dots + 2 πn, x = π - 0.90333 \dots + 2 πn

cos (x) = 45.7

- 2 cos (2 θ) = 1

tan (5 x) \cdot cot (x + 4 0^{\circ}) = 1

sin (θ) = 0.7043

3 cosh (2 x) = 5

What is the general solution for sin(x)= pi/4 ?
The general solution for sin(x)= pi/4 is x=0.90333…+2pin,x=pi-0.90333…+2pin