What is the general solution for sin(x)= 60/61 ?

The general solution for sin(x)= 60/61 is x=1.38947…+2pin,x=pi-1.38947…+2pin

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sin(x)= 60/61

sin (x) = \frac{60}{61}

x = 1.38947 \dots + 2 πn, x = π - 1.38947 \dots + 2 πn

Degrees

x = 79.61114 \dots^{\circ} + 36 0^{\circ} n, x = 100.38885 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{60}{61}

Apply trig inverse properties

sin (x) = \frac{60}{61}

General solutions for

sin (x) = \frac{60}{61}

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

x = arcsin (\frac{60}{61}) + 2 πn, x = π - arcsin (\frac{60}{61}) + 2 πn

x = arcsin (\frac{60}{61}) + 2 πn, x = π - arcsin (\frac{60}{61}) + 2 πn

Show solutions in decimal form

x = 1.38947 \dots + 2 πn, x = π - 1.38947 \dots + 2 πn

a, tan (a) = 3

2 cos (12 x) = 3

7 sin (5 x) = 2

arccot (x) + arccot (1 + x) = \frac{π}{4}

arcsin (x - 0.355) = 0.489

What is the general solution for sin(x)= 60/61 ?
The general solution for sin(x)= 60/61 is x=1.38947…+2pin,x=pi-1.38947…+2pin