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.

How do you find the sine function of arcsin 1 7?

Evaluate arcsin(1 7) arcsin ( 1 7). The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from π π to find the solution in the second quadrant.

What happens if x i x i = 0?

Of course, if one of your x i actually is zero, then when your computer attempts to compute x i x i = 0 0, it’ll probably produce NaN, a special value meaning “not a number,” and the graphics-plotting part of the program will perhaps ignore it (bad) or perhaps try to use it to plot something (which will be nonsense).

Is x x = 1?

Let’s ask a simpler question: is x x = 1? The answer (which follows from the axioms for a field) is that y = x x = x ⋅ x − 1 is undefined if x = 0, so while x x = 1 for x ≠ 0, for x = 0 it’s not even defined. What about y = x − a x − a?

How do you find the sine function of arcsin 1 8?

Evaluate arcsin(1 8) arcsin ( 1 8). The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from π π to find the solution in the second quadrant.

What is the sum of the squared values of sin and cos?

Just as the distance between the origin and any point (x,y) on a circle must be the circle’s radius, the sum of the squared values for sinθ and cosθ must be 1 for any angle θ.

How do you prove the identity for θ ∈ (0) π 2?

So given Pythagoras, that proves the identity for θ ∈ (0, π 2) For angles outside that range we can use: Given a right angled triangle with sides a, b and c consider the following diagram: Subtract 2ab from both sides to get: Use the formula for a circle (x2 +y2 = r2), and substitute x = rcosθ and y = rsinθ.

How do you find the sine function of 2x?

Divide each term in 2 x = 0 2 x = 0 by 2 2. Cancel the common factor of 2 2. Tap for more steps… Cancel the common factor. Divide x x by 1 1. Divide 0 0 by 2 2. The sine function is positive in the first and second quadrants. To find the second solution, subtract the reference angle from π π to find the solution in the second quadrant.

What is the exact value of arcsin(0)?

The exact value of arcsin(0) arcsin ( 0) is 0 0. Divide each term by 2 2 and simplify. Tap for more steps… Divide each term in 2 x = 0 2 x = 0 by 2 2. Cancel the common factor of 2 2. Tap for more steps…

How do you find the sine function in a quadrant?

Divide each term by 2 2 and simplify. Tap for more steps… Divide each term in 2 x = 0 2 x = 0 by 2 2. Cancel the common factor of 2 2. Tap for more steps… Cancel the common factor. Divide x x by 1 1. Divide 0 0 by 2 2. The sine function is positive in the first and second quadrants.

How do you find the sine function of 3x?

Divide each term in 3 x = π 2 3 x = π 2 by 3 3. Cancel the common factor of 3 3. Tap for more steps… Cancel the common factor. Divide x x by 1 1. Multiply π 2 ⋅ 1 3 π 2 ⋅ 1 3. Tap for more steps… Multiply π 2 π 2 and 1 3 1 3. Multiply 2 2 by 3 3. The sine function is positive in the first and second quadrants.

What is the period of sin(3x) sin 3x?

The period of the sin(3x) sin ( 3 x) function is 2π 3 2 π 3 so values will repeat every 2π 3 2 π 3 radians in both directions.

What is the value of 1 sin2x – 1 tan2x = 1?

= sin2x sin2x = 1. Or, 1 sin2x − 1 tan2x = csc2x −cot2x = 1. It happens to be exactly 1. Note that this uses the Pythagorean trigonometric identity in the second-to-last step, which states that: