Question

In the context of FLVS Flex Module 9 Algebra 2 DBA, can you answer the following questions:

Do you remember how to convert from radians to degrees? Degrees to radians?
Do you know how to find the arc length?
Can you find the sin, cosine, and tangent of a given angle? A given point? Find it on and off the unit circle?
Do you know what quadrant each trig function is positive?
Do you know how to find the reference angles?
Do you know what and how to find the key features of each trig function? (amplitude, period, phase shift, vertical shift/midline)
Do you know how to use the Pythagorean Identity?
Do you know how to find rate of change?

Answer 1

To convert from radians to degrees, multiply the value in radians by 180/π. The arc length can be found using the formula s = rθ. The trigonometric ratios can be used to find the sine, cosine, and tangent of an angle.

Step-by-step explanation:

To convert from radians to degrees, multiply the value in radians by 180/π. To convert from degrees to radians, multiply the value in degrees by π/180.

The arc length can be found using the formula s = rθ, where s is the arc length, r is the radius, and θ is the angle in radians.

The sine, cosine, and tangent of an angle can be found using the trigonometric ratios. For example, sine is calculated as sin(θ) = opposite/hypotenuse.

The reference angle can be found by considering the angle's position in the coordinate plane and its distance from the nearest x-axis or y-axis.

The key features of each trigonometric function include amplitude, period, phase shift, and vertical shift/midline. These can be determined by examining the equation of the function.

The Pythagorean Identity is sin^2(θ) + cos^2(θ) = 1, which relates the trigonometric functions sine and cosine.

The rate of change can be found by taking the derivative of a function with respect to the independent variable.