What value of x will make Sinx =- 1 2?

What value of x will make Sinx =- 1 2?

sinx would be −12 for x=π+π6 and for x=2π−π6 .

What is the value of x sin 1 (- 1 2?

The exact value of arcsin(−12) arcsin ( – 1 2 ) is −π6 . The sine function is negative in the third and fourth quadrants.

At what value of x does sin x 1?

The exact value of arcsin(1) is π2 . The sine function is positive in the first and second quadrants.

Where does sin x )= 1 2?

Trig table gives sinx=12=sin(π6)−→x1=π6 . Trig circle gives another arc x2=5π6 that has the same sin value (12) . Since f(x)=sinx is a periodic function, with period 2π , then there are an infinity of arcs that have the same sin value (12) , when the variable arc x rotates around the trig unit circle many times.

What does sin x )= 1 mean?

So sin-1(x) means the inverse sine of x, that is, the function that undoes the sine function. It is not equal to 1/sin(x). The inverse sine function has the derivative shown in “The Correction”.

What does sin x = (-1/2) mean?

Sin x = (-1/2) means that x is in the third or fourth quadrants. The values are 210 deg. or [ (2n+1)π + π/6] and 330 deg. or 2nπ-π/6. How do you solve sin x = 1/2? The equation is sin x = 1/2 and we look for all solutions lying in the interval 0° ≤ x ≤ 360°. This means we are looking for all the angles, x, in this interval which have a sine of 1/2.

How to solve SiNx = 1 2 using trigonometry?

Use the trig conversion table and the trig unit circle to solve sinx = 1 2. Trig table gives sinx = 1 2 = sin(π 6) − → x1 = π 6. Trig circle gives another arc x2 = 5 π 6 that has the same sin value (1 2).

How do you find the absolute value of sin x?

The absolute value is the distance between a number and zero. The distance between 0 0 and 1 1 is 1 1. Divide 2 π 2 π by 1 1. The period of the sin(x) sin ( x) function is 2π 2 π so values will repeat every 2π 2 π radians in both directions.

What is the value of sin 30 = 1/2?

Sine is negative in III and IV quadrants. Now sin 30 = 1/2. Taking θ = 30, Sin (180+θ) = sin (360-θ) = – sin θ. You really need to know your 30, 45, 60, 90 degree triangles in all 4 quadrants backwards and forwards.