What is the general solution for sin(a)=0.747 ?

The general solution for sin(a)=0.747 is a=0.84353…+2pin,a=pi-0.84353…+2pin

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sin(a)=0.747

sin (a) = 0.747

a = 0.84353 \dots + 2 πn, a = π - 0.84353 \dots + 2 πn

Degrees

a = 48.33117 \dots^{\circ} + 36 0^{\circ} n, a = 131.66882 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = 0.747

Apply trig inverse properties

sin (a) = 0.747

General solutions for

sin (a) = 0.747

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

a = arcsin (0.747) + 2 πn, a = π - arcsin (0.747) + 2 πn

a = arcsin (0.747) + 2 πn, a = π - arcsin (0.747) + 2 πn

Show solutions in decimal form

a = 0.84353 \dots + 2 πn, a = π - 0.84353 \dots + 2 πn

1 - tan^{2} (y) = 2 sec (y) - 4

2 sin^{2} (2 θ) + 5 sin (2 θ) = 3

3 cot (x) + 4 = 7

2 sin (4 θ) + 1 = 0

cot^{2} (x) csc^{2} (x) + 2 csc^{2} (x) - cot^{2} (x) = 2

What is the general solution for sin(a)=0.747 ?
The general solution for sin(a)=0.747 is a=0.84353…+2pin,a=pi-0.84353…+2pin