What is the general solution for sin(a)= 9/41 ?

The general solution for sin(a)= 9/41 is a=0.22131…+2pin,a=pi-0.22131…+2pin

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sin(a)= 9/41

sin (a) = \frac{9}{41}

a = 0.22131 \dots + 2 πn, a = π - 0.22131 \dots + 2 πn

Degrees

a = 12.68038 \dots^{\circ} + 36 0^{\circ} n, a = 167.31961 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (a) = \frac{9}{41}

Apply trig inverse properties

sin (a) = \frac{9}{41}

General solutions for

sin (a) = \frac{9}{41}

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

a = arcsin (\frac{9}{41}) + 2 πn, a = π - arcsin (\frac{9}{41}) + 2 πn

a = arcsin (\frac{9}{41}) + 2 πn, a = π - arcsin (\frac{9}{41}) + 2 πn

Show solutions in decimal form

a = 0.22131 \dots + 2 πn, a = π - 0.22131 \dots + 2 πn

sin (x) = \frac{10}{300}

cos^{2} (x) + 2 sin (x) = 2

cos (21 6^{\circ}) = cos^{2} (a) - sin^{2} (a)

csc (- x) - 1 = cot^{2} (x)

tan (a) = \frac{141}{101}

What is the general solution for sin(a)= 9/41 ?
The general solution for sin(a)= 9/41 is a=0.22131…+2pin,a=pi-0.22131…+2pin