Theta

Definition of theta:

Theta, as used to respect with options: The rate of change of the value of a collection of derivatives with respect to time with all else held constant. Formally this is a partial derivative. A theta is the specific symbol used in mathematical equations. The theta means the angle. Theta is most frequently used to represent unknown angles, especially in the study of trigonometry. Theta represents an angle in degrees, but not radians. It is used in many mathematics equations.

Examples problems for theta:

Problem for theta 1:

What is the reference angle for theta?

Solution:

First we get the measure of the acute angle, formed by the x-axis subtract and terminal side the measure of theta from 180^o.

`theta` =180 - 107 = 73

The reference angle is 73^o.

Problem for theta 2:

What is the reference angle for theta?

Solution:

First we get the measure of the acute angle, formed by the x-axis subtract and terminal side the measure of theta from 180^o. 

`theta` =180 - 95 = 85

The reference angle is 85^o.

Problem for theta 3:

What is the reference angle for theta?

Solution:

First we get the measure of the acute angle, formed by the x-axis subtract and terminal side the measure of theta from 180^o.

`theta` =180 - 120 = 60

The reference angle is 60^o.

Problem for theta learning 4:

Suppose the sine of theta value is (12/33) and theta of the first quadrant. Find the sin 2(theta).

Solution:

We get the diagram, the value is,

cos (theta) = (SQRT(70)/33).

Here we using the double identify, regarding for sine,

sin 2(theta) = 2(sin (theta))(cos (theta))

Put the values what we have,

sin 2(theta) = 2 * (12/33) * (SQRT (70)/33)

sin 2(theta) = 0.72 * (SQRT (70)/33)

sin 2(theta) = 0.72 * 2.12

And we get the final multiplication value is,

sin 2(`theta` ) = 1.52