What is the general solution for sin(x)= 14/16 ?

The general solution for sin(x)= 14/16 is x=1.06543…+2pin,x=pi-1.06543…+2pin

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sin(x)= 14/16

sin (x) = \frac{14}{16}

x = 1.06543 \dots + 2 πn, x = π - 1.06543 \dots + 2 πn

Degrees

x = 61.04497 \dots^{\circ} + 36 0^{\circ} n, x = 118.95502 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = \frac{14}{16}

Cancel the common factor:

2

sin (x) = \frac{7}{8}

Apply trig inverse properties

sin (x) = \frac{7}{8}

General solutions for

sin (x) = \frac{7}{8}

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

x = arcsin (\frac{7}{8}) + 2 πn, x = π - arcsin (\frac{7}{8}) + 2 πn

x = arcsin (\frac{7}{8}) + 2 πn, x = π - arcsin (\frac{7}{8}) + 2 πn

Show solutions in decimal form

x = 1.06543 \dots + 2 πn, x = π - 1.06543 \dots + 2 πn

csc (A) = 1.2384

cos (8 t) cos (5 t) = - sin (8 t) sin (5 t)

2 cos (θ) - 3 = - 5, 0 \leq θ < 2 π

2 tan (x) + 1 = 0

2 cos (3 x) + cos (2 x) + 1 = 0, 0 \leq x \leq 2 π

What is the general solution for sin(x)= 14/16 ?
The general solution for sin(x)= 14/16 is x=1.06543…+2pin,x=pi-1.06543…+2pin