If sin⁡(x)=12=sin⁡(π6), so: x1=π6 x2=5π6, that has the same value (12) Since f(x)=sin⁡(x) is a periodic function, with period 2π, there is an infinity if arcs that have the same sin value (12), when the variable arc x rotates around the trig unit circle many times. So, x=π6+K×2π; and x=5π6+K×2π, where K is a whole number.

sin⁡30°=12 and sin⁡150°=12

If sin⁡(x)=12=sin⁡(π6), so: x1=π6 x2=5π6, that has the same value (12) Since f(x)=sin⁡(x) is a periodic function, with period 2π, there is an infinity if arcs that have the same sin value (12), when the variable arc x rotates around the trig unit circle many times. So, x=π6+K×2π; and x=5π6+K×2π, where K is a whole number.

sin⁡30°=12 and sin⁡150°=12

"Find sin⁡(x)=12." was answered by students like you

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chezmarylou1i

Answered question

2021-12-12

Find

\sin (x) = \frac{1}{2}

Answer & Explanation

lalilulelo2k3eq

Beginner2021-12-13Added 38 answers

\sin (x) = \frac{1}{2} = \sin (\frac{π}{6})

, so:

x_{1} = \frac{π}{6}

x_{2} = 5 \frac{π}{6}

, that has the same value

(\frac{1}{2})

Since

f (x) = \sin (x)

is a periodic function, with period

2 π

, there is an infinity if arcs that have the same sin value

(\frac{1}{2})

, when the variable arc x rotates around the trig unit circle many times.
So,

x = \frac{π}{6} + K \times 2 π

; and

x = 5 \frac{π}{6} + K \times 2 π

, where K is a whole number.

Jimmy Macias

Beginner2021-12-14Added 30 answers

\sin 30 ° = \frac{1}{2}

and

\sin 150 ° = \frac{1}{2}

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