What is the general solution for sin(a)=0.6542 ?

The general solution for sin(a)=0.6542 is a=0.71312…+2pin,a=pi-0.71312…+2pin

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sin(a)=0.6542

sin (a) = 0.6542

a = 0.71312 \dots + 2 πn, a = π - 0.71312 \dots + 2 πn

Degrees

a = 40.85901 \dots^{\circ} + 36 0^{\circ} n, a = 139.14098 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = 0.6542

Apply trig inverse properties

sin (a) = 0.6542

General solutions for

sin (a) = 0.6542

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

a = arcsin (0.6542) + 2 πn, a = π - arcsin (0.6542) + 2 πn

a = arcsin (0.6542) + 2 πn, a = π - arcsin (0.6542) + 2 πn

Show solutions in decimal form

a = 0.71312 \dots + 2 πn, a = π - 0.71312 \dots + 2 πn

0 = - 6 sin (3 x)

tan (x) = 4 - 3 cot (x)

tan (x) = 193.661

sin (θ) = 0.242

tan^{2} (4 5^{\circ} + (\frac{x}{2})^{\circ}) = 4.137131

What is the general solution for sin(a)=0.6542 ?
The general solution for sin(a)=0.6542 is a=0.71312…+2pin,a=pi-0.71312…+2pin